Search a number
-
+
31709964 = 2231113171087
BaseRepresentation
bin111100011110…
…1101100001100
32012200000220010
41320331230030
531104204324
63051353220
7533346606
oct170755414
965600803
1031709964
1116999190
12a752810
1367533c0
1442d6176
152bb5829
hex1e3db0c

31709964 has 96 divisors (see below), whose sum is σ = 92123136. Its totient is φ = 8340480.

The previous prime is 31709941. The next prime is 31709987. The reversal of 31709964 is 46990713.

It is an interprime number because it is at equal distance from previous prime (31709941) and next prime (31709987).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28629 + ... + 29715.

It is an arithmetic number, because the mean of its divisors is an integer number (959616).

Almost surely, 231709964 is an apocalyptic number.

31709964 is a gapful number since it is divisible by the number (34) 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 31709964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568).

31709964 is an abundant number, since it is smaller than the sum of its proper divisors (60413172).

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

31709964 is a wasteful number, since it uses less digits than its factorization.

31709964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 31709964 is about 5631.1600936219. The cubic root of 31709964 is about 316.5181239918.

The spelling of 31709964 in words is "thirty-one million, seven hundred nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1087 1122 1326 1716 2174 2244 2431 2652 3261 4348 4862 6522 7293 9724 11957 13044 14131 14586 18479 23914 28262 29172 35871 36958 42393 47828 55437 56524 71742 73916 84786 110874 143484 155441 169572 203269 221748 240227 310882 406538 466323 480454 609807 621764 720681 813076 932646 960908 1219614 1441362 1865292 2439228 2642497 2882724 5284994 7927491 10569988 15854982 31709964