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11930952 = 23311431051
BaseRepresentation
bin101101100000…
…110101001000
3211110011012010
4231200311020
511023242302
61103415520
7203261055
oct55406510
924404163
1011930952
1168099a0
123bb45a0
132619747
14182802c
1510aa16c
hexb60d48

11930952 has 64 divisors (see below), whose sum is σ = 33327360. Its totient is φ = 3528000.

The previous prime is 11930927. The next prime is 11930969. The reversal of 11930952 is 25903911.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10827 + ... + 11877.

It is an arithmetic number, because the mean of its divisors is an integer number (520740).

Almost surely, 211930952 is an apocalyptic number.

11930952 is a gapful number since it is divisible by the number (12) 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 11930952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663680).

11930952 is an abundant number, since it is smaller than the sum of its proper divisors (21396408).

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

11930952 is a wasteful number, since it uses less digits than its factorization.

11930952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 11930952 is about 3454.1210169883. The cubic root of 11930952 is about 228.5028912070.

The spelling of 11930952 in words is "eleven million, nine hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1051 1419 1892 2102 2838 3153 3784 4204 5676 6306 8408 11352 11561 12612 23122 25224 34683 45193 46244 69366 90386 92488 135579 138732 180772 271158 277464 361544 497123 542316 994246 1084632 1491369 1988492 2982738 3976984 5965476 11930952