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131152620 = 223517711811
BaseRepresentation
bin1111101000100…
…11101011101100
3100010210020120110
413310103223230
5232033340440
621003020020
73151531104
oct764235354
9303706513
10131152620
11680399a5
1237b0a610
1321230301
14135c0204
15b7aa080
hex7d13aec

131152620 has 96 divisors (see below), whose sum is σ = 394523136. Its totient is φ = 32435200.

The previous prime is 131152583. The next prime is 131152627. The reversal of 131152620 is 26251131.

It is not an unprimeable number, because it can be changed into a prime (131152627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71515 + ... + 73325.

It is an arithmetic number, because the mean of its divisors is an integer number (4109616).

Almost surely, 2131152620 is an apocalyptic number.

131152620 is a gapful number since it is divisible by the number (10) 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 131152620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197261568).

131152620 is an abundant number, since it is smaller than the sum of its proper divisors (263370516).

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

131152620 is a wasteful number, since it uses less digits than its factorization.

131152620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131152620 is about 11452.1884371503. The cubic root of 131152620 is about 508.0724626415.

The spelling of 131152620 in words is "one hundred thirty-one million, one hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 340 355 426 510 710 852 1020 1065 1207 1420 1811 2130 2414 3621 3622 4260 4828 5433 6035 7242 7244 9055 10866 12070 14484 18105 18110 21732 24140 27165 30787 36210 36220 54330 61574 72420 92361 108660 123148 128581 153935 184722 257162 307870 369444 385743 461805 514324 615740 642905 771486 923610 1285810 1542972 1847220 1928715 2185877 2571620 3857430 4371754 6557631 7714860 8743508 10929385 13115262 21858770 26230524 32788155 43717540 65576310 131152620