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131074236 = 223219712699
BaseRepresentation
bin1111101000000…
…00100010111100
3100010122021001100
413310000202330
5232023333421
621001213100
73151053426
oct764004274
9303567040
10131074236
1167a96017
1237a91190
1321203727
141359d816
15b791c26
hex7d008bc

131074236 has 72 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 40793760.

The previous prime is 131074219. The next prime is 131074241. The reversal of 131074236 is 632470131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47215 + ... + 49913.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2131074236 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 131074236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

131074236 is an abundant number, since it is smaller than the sum of its proper divisors (222733764).

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

131074236 is a wasteful number, since it uses less digits than its factorization.

131074236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131074236 is about 11448.7656976637. The cubic root of 131074236 is about 507.9712251459.

The spelling of 131074236 in words is "one hundred thirty-one million, seventy-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 2699 4047 5396 5398 8094 8097 10796 12141 16188 16194 24282 24291 32388 48564 48582 51281 97164 102562 153843 191629 205124 307686 383258 461529 574887 615372 766516 923058 1149774 1724661 1846116 2299548 3449322 3640951 6898644 7281902 10922853 14563804 21845706 32768559 43691412 65537118 131074236