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23075712 = 273311607
BaseRepresentation
bin101100000000…
…1101110000000
31121102100221000
41120001232000
521401410322
62142332000
7400066062
oct130015600
947370830
1023075712
1112031140
12788a000
134a1c38a
1430c9732
15205c3ac
hex1601b80

23075712 has 128 divisors (see below), whose sum is σ = 74419200. Its totient is φ = 6981120.

The previous prime is 23075711. The next prime is 23075713. The reversal of 23075712 is 21757032.

It is an interprime number because it is at equal distance from previous prime (23075711) and next prime (23075713).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23075711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37713 + ... + 38319.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 223075712 is an apocalyptic number.

23075712 is a gapful number since it is divisible by the number (22) 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 23075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209600).

23075712 is an abundant number, since it is smaller than the sum of its proper divisors (51343488).

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

23075712 is a wasteful number, since it uses less digits than its factorization.

23075712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 23075712 is about 4803.7185596161. The cubic root of 23075712 is about 284.6984067217.

The spelling of 23075712 in words is "twenty-three million, seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 607 704 792 864 1056 1152 1188 1214 1408 1584 1728 1821 2112 2376 2428 3168 3456 3642 4224 4752 4856 5463 6336 6677 7284 9504 9712 10926 12672 13354 14568 16389 19008 19424 20031 21852 26708 29136 32778 38016 38848 40062 43704 53416 58272 60093 65556 77696 80124 87408 106832 116544 120186 131112 160248 174816 180279 213664 233088 240372 262224 320496 349632 360558 427328 480744 524448 640992 699264 721116 854656 961488 1048896 1281984 1442232 1922976 2097792 2563968 2884464 3845952 5768928 7691904 11537856 23075712