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131432490 = 23357197353
BaseRepresentation
bin1111101010110…
…00000000101010
3100011022110111000
413311120000222
5232121314430
621013015430
73154105050
oct765300052
9304273430
10131432490
11682101a2
1238024576
13212ca807
14136541d0
15b812e60
hex7d5802a

131432490 has 128 divisors (see below), whose sum is σ = 403729920. Its totient is φ = 29804544.

The previous prime is 131432479. The next prime is 131432501. The reversal of 131432490 is 94234131.

131432490 is a `hidden beast` number, since 131 + 43 + 2 + 490 = 666.

It is an interprime number because it is at equal distance from previous prime (131432479) and next prime (131432501).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372154 + ... + 372506.

It is an arithmetic number, because the mean of its divisors is an integer number (3154140).

Almost surely, 2131432490 is an apocalyptic number.

131432490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131432490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201864960).

131432490 is an abundant number, since it is smaller than the sum of its proper divisors (272297430).

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

131432490 is a wasteful number, since it uses less digits than its factorization.

131432490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131432490 is about 11464.4009874044. The cubic root of 131432490 is about 508.4336022458.

The spelling of 131432490 in words is "one hundred thirty-one million, four hundred thirty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 197 210 270 315 353 378 394 591 630 706 945 985 1059 1182 1379 1765 1773 1890 1970 2118 2471 2758 2955 3177 3530 3546 4137 4942 5295 5319 5910 6354 6895 7413 8274 8865 9531 10590 10638 12355 12411 13790 14826 15885 17730 19062 20685 22239 24710 24822 26595 31770 37065 37233 41370 44478 47655 53190 62055 66717 69541 74130 74466 95310 111195 124110 133434 139082 186165 208623 222390 333585 347705 372330 417246 486787 625869 667170 695410 973574 1043115 1251738 1460361 1877607 2086230 2433935 2920722 3129345 3755214 4381083 4867870 6258690 7301805 8762166 9388035 13143249 14603610 18776070 21905415 26286498 43810830 65716245 131432490