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11492964 = 2232759773
BaseRepresentation
bin101011110101…
…111001100100
3210121220101100
4223311321210
510420233324
61050200100
7166455120
oct53657144
923556340
1011492964
11653a91a
123a23030
1324c5292
141752580
1510204c9
hexaf5e64

11492964 has 72 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 3223872.

The previous prime is 11492963. The next prime is 11492981. The reversal of 11492964 is 46929411.

It is a happy number.

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 (11492963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14482 + ... + 15254.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 211492964 is an apocalyptic number.

11492964 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 11492964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

11492964 is an abundant number, since it is smaller than the sum of its proper divisors (22315356).

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

11492964 is a wasteful number, since it uses less digits than its factorization.

11492964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 844 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11492964 is about 3390.1274312332. The cubic root of 11492964 is about 225.6718290216.

The spelling of 11492964 in words is "eleven million, four hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 773 826 1062 1239 1546 1652 2124 2319 2478 3092 3717 4638 4956 5411 6957 7434 9276 10822 13914 14868 16233 21644 27828 32466 45607 48699 64932 91214 97398 136821 182428 194796 273642 319249 410463 547284 638498 820926 957747 1276996 1641852 1915494 2873241 3830988 5746482 11492964