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153105468 = 22317750517
BaseRepresentation
bin10010010000000…
…11010000111100
3101200002120012220
421020003100330
5303143333333
623105325340
73536242425
oct1110032074
9350076186
10153105468
117947344a
1243336850
1325948569
141649664c
15d6948b3
hex920343c

153105468 has 24 divisors (see below), whose sum is σ = 378261072. Its totient is φ = 48033024.

The previous prime is 153105467. The next prime is 153105487. The reversal of 153105468 is 864501351.

It is a super-4 number, since 4×1531054684 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153105467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375055 + ... + 375462.

It is an arithmetic number, because the mean of its divisors is an integer number (15760878).

Almost surely, 2153105468 is an apocalyptic number.

It is an amenable number.

153105468 is an abundant number, since it is smaller than the sum of its proper divisors (225155604).

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

153105468 is a wasteful number, since it uses less digits than its factorization.

153105468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750541 (or 750539 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 153105468 is about 12373.5794336158. The cubic root of 153105468 is about 534.9709921093.

The spelling of 153105468 in words is "one hundred fifty-three million, one hundred five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 750517 1501034 2251551 3002068 4503102 9006204 12758789 25517578 38276367 51035156 76552734 153105468