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141530032 = 2473173741
BaseRepresentation
bin10000110111110…
…01001110110000
3100212022110201001
420123321032300
5242212430112
622013251344
73335662000
oct1033711660
9325273631
10141530032
1172987676
123b493b54
13234248a7
1414b22000
15c659c57
hex86f93b0

141530032 has 160 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 54190080.

The previous prime is 141530029. The next prime is 141530033. The reversal of 141530032 is 230035141.

141530032 is digitally balanced in base 2, 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 = 141529991 and 141530009.

It is not an unprimeable number, because it can be changed into a prime (141530033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3451932 + ... + 3451972.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2141530032 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 141530032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

141530032 is an abundant number, since it is smaller than the sum of its proper divisors (214697168).

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

141530032 is a wasteful number, since it uses less digits than its factorization.

141530032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 141530032 is about 11896.6395255131. The cubic root of 141530032 is about 521.1341517663.

Adding to 141530032 its reverse (230035141), we get a palindrome (371565173).

The spelling of 141530032 in words is "one hundred forty-one million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 41 49 56 68 74 82 98 112 119 136 148 164 196 238 259 272 287 296 328 343 392 476 518 574 592 629 656 686 697 784 833 952 1036 1148 1258 1372 1394 1517 1666 1813 1904 2009 2072 2296 2516 2744 2788 3034 3332 3626 4018 4144 4403 4592 4879 5032 5488 5576 5831 6068 6664 7252 8036 8806 9758 10064 10619 11152 11662 12136 12691 13328 14063 14504 16072 17612 19516 21238 23324 24272 25382 25789 28126 29008 30821 32144 34153 35224 39032 42476 46648 50764 51578 56252 61642 68306 70448 74333 78064 84952 93296 101528 103156 112504 123284 136612 148666 169904 180523 203056 206312 215747 225008 239071 246568 273224 297332 361046 412624 431494 478142 493136 520331 546448 594664 722092 862988 956284 1040662 1189328 1263661 1444184 1725976 1912568 2081324 2527322 2888368 3451952 3825136 4162648 5054644 8325296 8845627 10109288 17691254 20218576 35382508 70765016 141530032