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31087152 = 243417283
BaseRepresentation
bin111011010010…
…1101000110000
32011111101120000
41312211220300
530424242102
63030150000
7525144045
oct166455060
964441500
1031087152
1116603268
12a4b2300
136595a85
1441b31cc
152ae101c
hex1da5a30

31087152 has 150 divisors (see below), whose sum is σ = 96730788. Its totient is φ = 9635328.

The previous prime is 31087139. The next prime is 31087153. The reversal of 31087152 is 25178013.

It is a super-2 number, since 2×310871522 = 1932822038942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31087153) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 374503 + ... + 374585.

Almost surely, 231087152 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 31087152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365394).

31087152 is an abundant number, since it is smaller than the sum of its proper divisors (65643636).

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

31087152 is a wasteful number, since it uses less digits than its factorization.

31087152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 31087152 is about 5575.5853504363. The cubic root of 31087152 is about 314.4321743193.

The spelling of 31087152 in words is "thirty-one million, eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 83 102 108 136 144 153 162 166 204 216 249 272 289 306 324 332 408 432 459 498 578 612 648 664 747 816 867 918 996 1156 1224 1296 1328 1377 1411 1494 1734 1836 1992 2241 2312 2448 2601 2754 2822 2988 3468 3672 3984 4233 4482 4624 5202 5508 5644 5976 6723 6936 7344 7803 8466 8964 10404 11016 11288 11952 12699 13446 13872 15606 16932 17928 20808 22032 22576 23409 23987 25398 26892 31212 33864 35856 38097 41616 46818 47974 50796 53784 62424 67728 71961 76194 93636 95948 101592 107568 114291 124848 143922 152388 187272 191896 203184 215883 228582 287844 304776 374544 383792 431766 457164 575688 609552 647649 863532 914328 1151376 1295298 1727064 1828656 1942947 2590596 3454128 3885894 5181192 7771788 10362384 15543576 31087152