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1660025424 = 2432937167193
BaseRepresentation
bin110001011110001…
…1111101001010000
311021200122000210010
41202330133221100
511344431303144
6432420034520
756064661161
oct14274375120
94250560703
101660025424
1178204a742
123a3b32a40
13205bc1485
1411a67b768
159ab095b9
hex62f1fa50

1660025424 has 160 divisors (see below), whose sum is σ = 4607205120. Its totient is φ = 514031616.

The previous prime is 1660025413. The next prime is 1660025467. The reversal of 1660025424 is 4245200661.

1660025424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1660025391 and 1660025400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8601072 + ... + 8601264.

It is an arithmetic number, because the mean of its divisors is an integer number (28795032).

Almost surely, 21660025424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1660025424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303602560).

1660025424 is an abundant number, since it is smaller than the sum of its proper divisors (2947179696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1660025424 is a wasteful number, since it uses less digits than its factorization.

1660025424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1660025424 is about 40743.4095775010. The cubic root of 1660025424 is about 1184.0541923394.

It can be divided in two parts, 16600 and 25424, that added together give a palindrome (42024).

The spelling of 1660025424 in words is "one billion, six hundred sixty million, twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 167 174 193 222 232 296 334 348 386 444 464 501 579 592 668 696 772 888 1002 1073 1158 1336 1392 1544 1776 2004 2146 2316 2672 3088 3219 4008 4292 4632 4843 5597 6179 6438 7141 8016 8584 9264 9686 11194 12358 12876 14282 14529 16791 17168 18537 19372 21423 22388 24716 25752 28564 29058 32231 33582 37074 38744 42846 44776 49432 51504 57128 58116 64462 67164 74148 77488 85692 89552 96693 98864 114256 116232 128924 134328 148296 171384 179191 193386 207089 232464 257848 268656 296592 342768 358382 386772 414178 515696 537573 621267 716764 773544 828356 934699 1075146 1192547 1242534 1433528 1547088 1656712 1869398 2150292 2385094 2485068 2804097 2867056 3313424 3577641 3738796 4300584 4770188 4970136 5608194 7155282 7477592 8601168 9540376 9940272 11216388 14310564 14955184 19080752 22432776 28621128 34583863 44865552 57242256 69167726 103751589 138335452 207503178 276670904 415006356 553341808 830012712 1660025424