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23074632 = 233475087
BaseRepresentation
bin101100000000…
…1011101001000
31121102022110000
41120001131020
521401342012
62142323000
7400062660
oct130013510
947368400
1023074632
1112030349
127889460
134a1ba39
1430c91a0
15205bddc
hex1601748

23074632 has 80 divisors (see below), whose sum is σ = 73877760. Its totient is φ = 6591456.

The previous prime is 23074631. The next prime is 23074637. The reversal of 23074632 is 23647032.

23074632 is a `hidden beast` number, since 23 + 0 + 7 + 4 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23074596 and 23074605.

It is not an unprimeable number, because it can be changed into a prime (23074631) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1993 + ... + 7079.

It is an arithmetic number, because the mean of its divisors is an integer number (923472).

Almost surely, 223074632 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 23074632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36938880).

23074632 is an abundant number, since it is smaller than the sum of its proper divisors (50803128).

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

23074632 is a wasteful number, since it uses less digits than its factorization.

23074632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23074632 is about 4803.6061453870. The cubic root of 23074632 is about 284.6939651242.

The spelling of 23074632 in words is "twenty-three million, seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 5087 10174 15261 20348 30522 35609 40696 45783 61044 71218 91566 106827 122088 137349 142436 183132 213654 274698 284872 320481 366264 412047 427308 549396 640962 824094 854616 961443 1098792 1281924 1648188 1922886 2563848 2884329 3296376 3845772 5768658 7691544 11537316 23074632