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153955540 = 22573105449
BaseRepresentation
bin10010010110100…
…10110011010100
3101201200202022001
421023102303110
5303403034130
623135445044
73546412654
oct1113226324
9351622261
10153955540
11799a4092
1243686784
1325b8546b
1416638364
15d7b16ca
hex92d2cd4

153955540 has 24 divisors (see below), whose sum is σ = 327738600. Its totient is φ = 60738048.

The previous prime is 153955511. The next prime is 153955547. The reversal of 153955540 is 45559351.

It can be written as a sum of positive squares in 4 ways, for example, as 13675204 + 140280336 = 3698^2 + 11844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 153955540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153955547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51265 + ... + 54184.

It is an arithmetic number, because the mean of its divisors is an integer number (13655775).

Almost surely, 2153955540 is an apocalyptic number.

153955540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153955540 is an abundant number, since it is smaller than the sum of its proper divisors (173783060).

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

153955540 is a wasteful number, since it uses less digits than its factorization.

153955540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105531 (or 105529 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 37.

The square root of 153955540 is about 12407.8821722323. The cubic root of 153955540 is about 535.9592537898.

The spelling of 153955540 in words is "one hundred fifty-three million, nine hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 105449 210898 421796 527245 1054490 2108980 7697777 15395554 30791108 38488885 76977770 153955540