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131240032 = 2573111087
BaseRepresentation
bin1111101001010…
…01000001100000
3100010221200110221
413310221001200
5232044140112
621004532424
73152344000
oct764510140
9303850427
10131240032
1168099640
1237b51114
1321261031
1413604000
15b7c5e07
hex7d29060

131240032 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 51085440.

The previous prime is 131240003. The next prime is 131240041. The reversal of 131240032 is 230042131.

It is a happy number.

It is a super-2 number, since 2×1312400322 = 34447891998722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131239988 and 131240015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120193 + ... + 121279.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2131240032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

131240032 is an abundant number, since it is smaller than the sum of its proper divisors (197771168).

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

131240032 is a wasteful number, since it uses less digits than its factorization.

131240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131240032 is about 11456.0041899434. The cubic root of 131240032 is about 508.1853127625.

Adding to 131240032 its reverse (230042131), we get a palindrome (361282163).

The spelling of 131240032 in words is "one hundred thirty-one million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 343 352 392 539 616 686 784 1078 1087 1232 1372 1568 2156 2174 2464 2744 3773 4312 4348 5488 7546 7609 8624 8696 10976 11957 15092 15218 17248 17392 23914 30184 30436 34784 47828 53263 60368 60872 83699 95656 106526 120736 121744 167398 191312 213052 243488 334796 372841 382624 426104 585893 669592 745682 852208 1171786 1339184 1491364 1704416 2343572 2678368 2982728 4101251 4687144 5965456 8202502 9374288 11930912 16405004 18748576 32810008 65620016 131240032