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31400512 = 2611134773
BaseRepresentation
bin111011111001…
…0001001000000
32012002022101221
41313302021000
531014304022
63041004424
7530620453
oct167621100
965068357
1031400512
11167a7740
12a623714
1366755b0
14425549a
152b53cc7
hex1df2240

31400512 has 112 divisors (see below), whose sum is σ = 75785472. Its totient is φ = 12718080.

The previous prime is 31400507. The next prime is 31400519. The reversal of 31400512 is 21500413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31400519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430108 + ... + 430180.

It is an arithmetic number, because the mean of its divisors is an integer number (676656).

Almost surely, 231400512 is an apocalyptic number.

31400512 is a gapful number since it is divisible by the number (32) 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 31400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37892736).

31400512 is an abundant number, since it is smaller than the sum of its proper divisors (44384960).

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

31400512 is a wasteful number, since it uses less digits than its factorization.

31400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 31400512 is about 5603.6159754216. The cubic root of 31400512 is about 315.4851414077.

Adding to 31400512 its reverse (21500413), we get a palindrome (52900925).

Subtracting from 31400512 its reverse (21500413), we obtain a palindrome (9900099).

The spelling of 31400512 in words is "thirty-one million, four hundred thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 73 88 94 104 143 146 176 188 208 286 292 352 376 416 517 572 584 611 704 752 803 832 949 1034 1144 1168 1222 1504 1606 1898 2068 2288 2336 2444 3008 3212 3431 3796 4136 4576 4672 4888 6424 6721 6862 7592 8272 9152 9776 10439 12848 13442 13724 15184 16544 19552 20878 25696 26884 27448 30368 33088 37741 39104 41756 44603 51392 53768 54896 60736 75482 83512 89206 107536 109792 150964 167024 178412 215072 219584 301928 334048 356824 430144 490633 603856 668096 713648 981266 1207712 1427296 1962532 2415424 2854592 3925064 7850128 15700256 31400512