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31054920 = 233513171171
BaseRepresentation
bin111011001110…
…1110001001000
32011102202100020
41312131301020
530422224140
63025340440
7524651061
oct166356110
964382306
1031054920
1116591026
12a497720
1365841c0
1441a5568
152ad66d0
hex1d9dc48

31054920 has 128 divisors (see below), whose sum is σ = 106323840. Its totient is φ = 7188480.

The previous prime is 31054897. The next prime is 31054957. The reversal of 31054920 is 2945013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25935 + ... + 27105.

It is an arithmetic number, because the mean of its divisors is an integer number (830655).

Almost surely, 231054920 is an apocalyptic number.

31054920 is a gapful number since it is divisible by the number (30) 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 31054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53161920).

31054920 is an abundant number, since it is smaller than the sum of its proper divisors (75268920).

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

31054920 is a wasteful number, since it uses less digits than its factorization.

31054920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 31054920 is about 5572.6941419748. The cubic root of 31054920 is about 314.3234661459.

Adding to 31054920 its reverse (2945013), we get a palindrome (33999933).

The spelling of 31054920 in words is "thirty-one million, fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1171 1326 1560 1768 2040 2210 2342 2652 3315 3513 4420 4684 5304 5855 6630 7026 8840 9368 11710 13260 14052 15223 17565 19907 23420 26520 28104 30446 35130 39814 45669 46840 59721 60892 70260 76115 79628 91338 99535 119442 121784 140520 152230 159256 182676 199070 228345 238884 258791 298605 304460 365352 398140 456690 477768 517582 597210 608920 776373 796280 913380 1035164 1194420 1293955 1552746 1826760 2070328 2388840 2587910 3105492 3881865 5175820 6210984 7763730 10351640 15527460 31054920