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10974132 = 223213131179
BaseRepresentation
bin101001110111…
…001110110100
3202122112200100
4221313032310
510302133012
61031114100
7162164361
oct51671664
922575610
1010974132
116216034
123812930
132373090
141659468
15e6b8dc
hexa773b4

10974132 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3332160.

The previous prime is 10974121. The next prime is 10974133. The reversal of 10974132 is 23147901.

It is a junction number, because it is equal to n+sod(n) for n = 10974096 and 10974105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10974133) 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, 61219 + ... + 61397.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 210974132 is an apocalyptic number.

10974132 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 10974132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10974132 is an abundant number, since it is smaller than the sum of its proper divisors (19296108).

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

10974132 is a wasteful number, since it uses less digits than its factorization.

10974132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10974132 is about 3312.7227472277. The cubic root of 10974132 is about 222.2235391403.

The spelling of 10974132 in words is "ten million, nine hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 179 234 262 358 393 468 524 537 716 786 1074 1179 1572 1611 1703 2148 2327 2358 3222 3406 4654 4716 5109 6444 6812 6981 9308 10218 13962 15327 20436 20943 23449 27924 30654 41886 46898 61308 70347 83772 93796 140694 211041 281388 304837 422082 609674 844164 914511 1219348 1829022 2743533 3658044 5487066 10974132