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31055076 = 22341373101
BaseRepresentation
bin111011001110…
…1110011100100
32011102202120000
41312131303210
530422230301
63025341300
7524651403
oct166356344
964382500
1031055076
1116591158
12a497830
1365842b0
1441a563a
152ad6786
hex1d9dce4

31055076 has 120 divisors (see below), whose sum is σ = 89504184. Its totient is φ = 9331200.

The previous prime is 31055069. The next prime is 31055077. The reversal of 31055076 is 67055013.

It can be written as a sum of positive squares in 4 ways, for example, as 7784100 + 23270976 = 2790^2 + 4824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31055077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307426 + ... + 307526.

Almost surely, 231055076 is an apocalyptic number.

31055076 is a gapful number since it is divisible by the number (36) 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 31055076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44752092).

31055076 is an abundant number, since it is smaller than the sum of its proper divisors (58449108).

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

31055076 is a wasteful number, since it uses less digits than its factorization.

31055076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 31055076 is about 5572.7081387778. The cubic root of 31055076 is about 314.3239924649.

The spelling of 31055076 in words is "thirty-one million, fifty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 81 101 108 117 146 156 162 202 219 234 292 303 324 351 404 438 468 606 657 702 876 909 949 1053 1212 1313 1314 1404 1818 1898 1971 2106 2626 2628 2727 2847 3636 3796 3939 3942 4212 5252 5454 5694 5913 7373 7878 7884 8181 8541 10908 11388 11817 11826 14746 15756 16362 17082 22119 23634 23652 25623 29492 32724 34164 35451 44238 47268 51246 66357 70902 76869 88476 95849 102492 106353 132714 141804 153738 191698 199071 212706 265428 287547 307476 383396 398142 425412 575094 597213 796284 862641 1150188 1194426 1725282 2388852 2587923 3450564 5175846 7763769 10351692 15527538 31055076