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23029152 = 25317103137
BaseRepresentation
bin101011111011…
…0010110100000
31121100000001120
41113312112200
521343413102
62141332240
7366513246
oct127662640
947300046
1023029152
1111aaa163
127867080
134a04123
1430b6796
15204d6bc
hex15f65a0

23029152 has 96 divisors (see below), whose sum is σ = 65100672. Its totient is φ = 7102464.

The previous prime is 23029117. The next prime is 23029163. The reversal of 23029152 is 25192032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 168028 + ... + 168164.

It is an arithmetic number, because the mean of its divisors is an integer number (678132).

Almost surely, 223029152 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 23029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550336).

23029152 is an abundant number, since it is smaller than the sum of its proper divisors (42071520).

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

23029152 is a wasteful number, since it uses less digits than its factorization.

23029152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 23029152 is about 4798.8698669583. The cubic root of 23029152 is about 284.5067985769.

The spelling of 23029152 in words is "twenty-three million, twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 103 136 137 204 206 272 274 309 408 411 412 544 548 618 816 822 824 1096 1236 1632 1644 1648 1751 2192 2329 2472 3288 3296 3502 4384 4658 4944 5253 6576 6987 7004 9316 9888 10506 13152 13974 14008 14111 18632 21012 27948 28016 28222 37264 42024 42333 55896 56032 56444 74528 84048 84666 111792 112888 168096 169332 223584 225776 239887 338664 451552 479774 677328 719661 959548 1354656 1439322 1919096 2878644 3838192 5757288 7676384 11514576 23029152