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11923968 = 29371109
BaseRepresentation
bin101101011111…
…001000000000
3211102210121110
4231133020000
511023031333
61103323320
7203231520
oct55371000
924383543
1011923968
116804721
123bb0540
132616504
141825680
1510a8063
hexb5f200

11923968 has 80 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 3403776.

The previous prime is 11923931. The next prime is 11923969. The reversal of 11923968 is 86932911.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11923969) 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, 10198 + ... + 11306.

It is an arithmetic number, because the mean of its divisors is an integer number (454212).

Almost surely, 211923968 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 11923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

11923968 is an abundant number, since it is smaller than the sum of its proper divisors (24412992).

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

11923968 is an equidigital number, since it uses as much as digits as its factorization.

11923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 11923968 is about 3453.1099026819. The cubic root of 11923968 is about 228.4582963950.

The spelling of 11923968 in words is "eleven million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1109 1344 1536 1792 2218 2688 3327 3584 4436 5376 6654 7763 8872 10752 13308 15526 17744 23289 26616 31052 35488 46578 53232 62104 70976 93156 106464 124208 141952 186312 212928 248416 283904 372624 425856 496832 567808 745248 851712 993664 1490496 1703424 1987328 2980992 3974656 5961984 11923968