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31679130 = 2357612473
BaseRepresentation
bin111100011011…
…0001010011010
32012121110121010
41320312022122
531102213010
63050554350
7533160660
oct170661232
965543533
1031679130
1116977aaa
12a7389b6
136742362
1442c8c30
152bab620
hex1e3629a

31679130 has 64 divisors (see below), whose sum is σ = 88351488. Its totient is φ = 7119360.

The previous prime is 31679129. The next prime is 31679147. The reversal of 31679130 is 3197613.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11574 + ... + 14046.

It is an arithmetic number, because the mean of its divisors is an integer number (1380492).

Almost surely, 231679130 is an apocalyptic number.

31679130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31679130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44175744).

31679130 is an abundant number, since it is smaller than the sum of its proper divisors (56672358).

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

31679130 is a wasteful number, since it uses less digits than its factorization.

31679130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 31679130 is about 5628.4216259978. The cubic root of 31679130 is about 316.4154992053.

The spelling of 31679130 in words is "thirty-one million, six hundred seventy-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2473 2562 4270 4946 6405 7419 12365 12810 14838 17311 24730 34622 37095 51933 74190 86555 103866 150853 173110 259665 301706 452559 519330 754265 905118 1055971 1508530 2111942 2262795 3167913 4525590 5279855 6335826 10559710 15839565 31679130