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23005696 = 2973131
BaseRepresentation
bin101011111000…
…0101000000000
31121021210212211
41113300220000
521342140241
62141031504
7366355000
oct127605000
947253784
1023005696
1111a9357a
127855594
1349c654c
1430ac000
152046781
hex15f0a00

23005696 has 80 divisors (see below), whose sum is σ = 54014400. Its totient is φ = 9784320.

The previous prime is 23005673. The next prime is 23005747. The reversal of 23005696 is 69650032.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175551 + ... + 175681.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 223005696 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 23005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007200).

23005696 is an abundant number, since it is smaller than the sum of its proper divisors (31008704).

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

23005696 is an frugal number, since it uses more digits than its factorization.

23005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 23005696 is about 4796.4253356015. The cubic root of 23005696 is about 284.4101723754.

The spelling of 23005696 in words is "twenty-three million, five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 256 262 343 392 448 512 524 686 784 896 917 1048 1372 1568 1792 1834 2096 2744 3136 3584 3668 4192 5488 6272 6419 7336 8384 10976 12544 12838 14672 16768 21952 25088 25676 29344 33536 43904 44933 51352 58688 67072 87808 89866 102704 117376 175616 179732 205408 234752 359464 410816 469504 718928 821632 1437856 1643264 2875712 3286528 5751424 11502848 23005696