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3117972 = 22311132379
BaseRepresentation
bin1011111001001110010100
312212102001110
423321032110
51244233342
6150455020
735334204
oct13711624
95772043
103117972
11183a640
121064470
13852270
145b2404
15418c9c
hex2f9394

3117972 has 96 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 823680.

The previous prime is 3117967. The next prime is 3117991. The reversal of 3117972 is 2797113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39429 + ... + 39507.

It is an arithmetic number, because the mean of its divisors is an integer number (94080).

Almost surely, 23117972 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 3117972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

3117972 is an abundant number, since it is smaller than the sum of its proper divisors (5913708).

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

3117972 is a wasteful number, since it uses less digits than its factorization.

3117972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its digits is 2646, while the sum is 30.

The square root of 3117972 is about 1765.7780154935. The cubic root of 3117972 is about 146.0912046636.

The spelling of 3117972 in words is "three million, one hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 79 92 132 138 143 156 158 237 253 276 286 299 316 429 474 506 572 598 759 858 869 897 948 1012 1027 1196 1518 1716 1738 1794 1817 2054 2607 3036 3081 3289 3476 3588 3634 4108 5214 5451 6162 6578 7268 9867 10428 10902 11297 12324 13156 19734 19987 21804 22594 23621 33891 39468 39974 45188 47242 59961 67782 70863 79948 94484 119922 135564 141726 239844 259831 283452 519662 779493 1039324 1558986 3117972