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131737430 = 25112961677
BaseRepresentation
bin1111101101000…
…10011101010110
3100011212221210002
413312202131112
5232211044210
621023331302
73156515066
oct766423526
9304787702
10131737430
11683a9310
1238150b32
13213a6556
14136d33a6
15b8734a5
hex7da2756

131737430 has 64 divisors (see below), whose sum is σ = 272393280. Its totient is φ = 45427200.

The previous prime is 131737421. The next prime is 131737433. The reversal of 131737430 is 34737131.

131737430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 131737393 and 131737402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131737433) 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, 194252 + ... + 194928.

It is an arithmetic number, because the mean of its divisors is an integer number (4256145).

Almost surely, 2131737430 is an apocalyptic number.

131737430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131737430 is an abundant number, since it is smaller than the sum of its proper divisors (140655850).

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

131737430 is a wasteful number, since it uses less digits than its factorization.

131737430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 131737430 is about 11477.6927123878. The cubic root of 131737430 is about 508.8265086256.

The spelling of 131737430 in words is "one hundred thirty-one million, seven hundred thirty-seven thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 29 55 58 61 110 122 145 290 305 319 610 638 671 677 1342 1354 1595 1769 3190 3355 3385 3538 6710 6770 7447 8845 14894 17690 19459 19633 37235 38918 39266 41297 74470 82594 97295 98165 194590 196330 206485 215963 412970 431926 454267 908534 1079815 1197613 2159630 2271335 2395226 4542670 5988065 11976130 13173743 26347486 65868715 131737430