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31676106 = 23711223271
BaseRepresentation
bin111100011010…
…1011011001010
32012121022110010
41320311123022
531102113411
63050532350
7533146110
oct170653312
965538403
1031676106
1116975800
12a7370b6
136740b77
1442c7ab0
152baa7a6
hex1e356ca

31676106 has 96 divisors (see below), whose sum is σ = 83349504. Its totient is φ = 7840800.

The previous prime is 31676093. The next prime is 31676111. The reversal of 31676106 is 60167613.

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, 116751 + ... + 117021.

It is an arithmetic number, because the mean of its divisors is an integer number (868224).

Almost surely, 231676106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31676106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674752).

31676106 is an abundant number, since it is smaller than the sum of its proper divisors (51673398).

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

31676106 is a wasteful number, since it uses less digits than its factorization.

31676106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 31676106 is about 5628.1529829954. The cubic root of 31676106 is about 316.4054308426.

The spelling of 31676106 in words is "thirty-one million, six hundred seventy-six thousand, one hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 121 138 154 161 231 242 253 271 322 363 462 483 506 542 726 759 813 847 966 1518 1626 1694 1771 1897 2541 2783 2981 3542 3794 5082 5313 5566 5691 5962 6233 8349 8943 10626 11382 12466 16698 17886 18699 19481 20867 32791 37398 38962 41734 43631 58443 62601 65582 68563 87262 98373 116886 125202 130893 137126 196746 205689 229537 261786 411378 459074 479941 688611 754193 959882 1377222 1439823 1508386 2262579 2879646 4525158 5279351 10558702 15838053 31676106