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31162014 = 232131943163
BaseRepresentation
bin111011011011…
…1111010011110
32011122012020200
41312313322132
530434141024
63031524330
7525605232
oct166677236
964565220
1031162014
1116654534
12a5296a6
1365c0b80
1441d25c2
152b082c9
hex1db7e9e

31162014 has 96 divisors (see below), whose sum is σ = 78798720. Its totient is φ = 8817984.

The previous prime is 31161997. The next prime is 31162031. The reversal of 31162014 is 41026113.

It is a happy number.

31162014 is a `hidden beast` number, since 31 + 1 + 620 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (31161997) and next prime (31162031).

It is a super-2 number, since 2×311620142 = 1942142233072392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191097 + ... + 191259.

It is an arithmetic number, because the mean of its divisors is an integer number (820820).

Almost surely, 231162014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31162014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39399360).

31162014 is an abundant number, since it is smaller than the sum of its proper divisors (47636706).

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

31162014 is a wasteful number, since it uses less digits than its factorization.

31162014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31162014 is about 5582.2946894624. The cubic root of 31162014 is about 314.6843701637.

Adding to 31162014 its reverse (41026113), we get a palindrome (72188127).

The spelling of 31162014 in words is "thirty-one million, one hundred sixty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 43 57 78 86 114 117 129 163 171 234 247 258 326 342 387 489 494 559 741 774 817 978 1118 1467 1482 1634 1677 2119 2223 2451 2934 3097 3354 4238 4446 4902 5031 6194 6357 7009 7353 9291 10062 10621 12714 14018 14706 18582 19071 21027 21242 27873 31863 38142 40261 42054 55746 63081 63726 80522 91117 95589 120783 126162 133171 182234 191178 241566 266342 273351 362349 399513 546702 724698 799026 820053 1198539 1640106 1731223 2397078 3462446 5193669 10387338 15581007 31162014