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31707072 = 263359311
BaseRepresentation
bin111100011110…
…0111111000000
32012122212221000
41320330333000
531104111242
63051332000
7533335305
oct170747700
965585830
1031707072
1116996aa1
12a751000
136751ca7
1442d50ac
152bb4a4c
hex1e3cfc0

31707072 has 112 divisors (see below), whose sum is σ = 95097600. Its totient is φ = 10356480.

The previous prime is 31707043. The next prime is 31707083. The reversal of 31707072 is 27070713.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101797 + ... + 102107.

Almost surely, 231707072 is an apocalyptic number.

31707072 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 31707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

31707072 is an abundant number, since it is smaller than the sum of its proper divisors (63390528).

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

31707072 is a wasteful number, since it uses less digits than its factorization.

31707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 31707072 is about 5630.9033023130. The cubic root of 31707072 is about 316.5085013776.

Adding to 31707072 its reverse (27070713), we get a palindrome (58777785).

The spelling of 31707072 in words is "thirty-one million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 311 354 432 472 531 576 622 708 864 933 944 1062 1244 1416 1593 1728 1866 1888 2124 2488 2799 2832 3186 3732 3776 4248 4976 5598 5664 6372 7464 8397 8496 9952 11196 11328 12744 14928 16794 16992 18349 19904 22392 25488 29856 33588 33984 36698 44784 50976 55047 59712 67176 73396 89568 101952 110094 134352 146792 165141 179136 220188 268704 293584 330282 440376 495423 537408 587168 660564 880752 990846 1174336 1321128 1761504 1981692 2642256 3523008 3963384 5284512 7926768 10569024 15853536 31707072