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35131980 = 22351373617
BaseRepresentation
bin1000011000000…
…1001001001100
32110002220000110
42012001021030
532443210410
63253000020
7604421412
oct206011114
973086013
1035131980
11189161a4
12b923010
137380b70
1449472b2
15313e720
hex218124c

35131980 has 96 divisors (see below), whose sum is σ = 107561664. Its totient is φ = 8515584.

The previous prime is 35131939. The next prime is 35131997. The reversal of 35131980 is 8913153.

It is a happy number.

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

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, 56632 + ... + 57248.

It is an arithmetic number, because the mean of its divisors is an integer number (1120434).

Almost surely, 235131980 is an apocalyptic number.

35131980 is a gapful number since it is divisible by the number (30) 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 35131980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53780832).

35131980 is an abundant number, since it is smaller than the sum of its proper divisors (72429684).

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

35131980 is a wasteful number, since it uses less digits than its factorization.

35131980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 35131980 is about 5927.2236333717. The cubic root of 35131980 is about 327.5172727521.

The spelling of 35131980 in words is "thirty-five million, one hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 73 78 130 146 156 195 219 260 292 365 390 438 617 730 780 876 949 1095 1234 1460 1851 1898 2190 2468 2847 3085 3702 3796 4380 4745 5694 6170 7404 8021 9255 9490 11388 12340 14235 16042 18510 18980 24063 28470 32084 37020 40105 45041 48126 56940 80210 90082 96252 120315 135123 160420 180164 225205 240630 270246 450410 481260 540492 585533 675615 900820 1171066 1351230 1756599 2342132 2702460 2927665 3513198 5855330 7026396 8782995 11710660 17565990 35131980