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145055540 = 22573741683
BaseRepresentation
bin10001010010101…
…01111100110100
3101002221120210102
420221111330310
5244113234130
622221013232
73410644310
oct1051257464
9332846712
10145055540
1174975413
12406b4218
132408a4a6
141539cb40
15cb04645
hex8a55f34

145055540 has 96 divisors (see below), whose sum is σ = 366799104. Its totient is φ = 47139840.

The previous prime is 145055539. The next prime is 145055563. The reversal of 145055540 is 45550541.

It is a happy number.

145055540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1450555402 = 42082219369383200, which contains 22 as substring.

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, 212039 + ... + 212721.

It is an arithmetic number, because the mean of its divisors is an integer number (3820824).

Almost surely, 2145055540 is an apocalyptic number.

145055540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183399552).

145055540 is an abundant number, since it is smaller than the sum of its proper divisors (221743564).

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

145055540 is a wasteful number, since it uses less digits than its factorization.

145055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The square root of 145055540 is about 12043.9005309742. The cubic root of 145055540 is about 525.4258555306.

The spelling of 145055540 in words is "one hundred forty-five million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 70 74 82 140 148 164 185 205 259 287 370 410 518 574 683 740 820 1036 1148 1295 1366 1435 1517 2590 2732 2870 3034 3415 4781 5180 5740 6068 6830 7585 9562 10619 13660 15170 19124 21238 23905 25271 28003 30340 42476 47810 50542 53095 56006 95620 101084 106190 112012 126355 140015 176897 196021 212380 252710 280030 353794 392042 505420 560060 707588 784084 884485 980105 1036111 1768970 1960210 2072222 3537940 3920420 4144444 5180555 7252777 10361110 14505554 20722220 29011108 36263885 72527770 145055540