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11933964 = 22327232971
BaseRepresentation
bin101101100001…
…100100001100
3211110022022200
4231201210030
511023341324
61103441500
7203302620
oct55414414
924408280
1011933964
116811189
123bb6290
13261ac23
141829180
1510aaec9
hexb6190c

11933964 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3104640.

The previous prime is 11933963. The next prime is 11933981. The reversal of 11933964 is 46933911.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11933963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168049 + ... + 168119.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 211933964 is an apocalyptic number.

11933964 is a gapful number since it is divisible by the number (14) 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 11933964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11933964 is an abundant number, since it is smaller than the sum of its proper divisors (25805556).

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

11933964 is a wasteful number, since it uses less digits than its factorization.

11933964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 11933964 is about 3454.5569904114. The cubic root of 11933964 is about 228.5221183064.

The spelling of 11933964 in words is "eleven million, nine hundred thirty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 58 63 69 71 84 87 92 116 126 138 142 161 174 203 207 213 252 261 276 284 322 348 406 414 426 483 497 522 609 639 644 667 812 828 852 966 994 1044 1218 1278 1334 1449 1491 1633 1827 1932 1988 2001 2059 2436 2556 2668 2898 2982 3266 3654 4002 4118 4473 4669 4899 5796 5964 6003 6177 6532 7308 8004 8236 8946 9338 9798 11431 12006 12354 14007 14413 14697 17892 18531 18676 19596 22862 24012 24708 28014 28826 29394 34293 37062 42021 43239 45724 47357 56028 57652 58788 68586 74124 84042 86478 94714 102879 129717 137172 142071 168084 172956 189428 205758 259434 284142 331499 411516 426213 518868 568284 662998 852426 994497 1325996 1704852 1988994 2983491 3977988 5966982 11933964