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131427296 = 25711213373
BaseRepresentation
bin1111101010101…
…10101111100000
3100011022012100122
413311112233200
5232121133141
621012535412
73154053650
oct765265740
9304265318
10131427296
1168207300
1238021568
13212c8340
1413652360
15b81164b
hex7d56be0

131427296 has 144 divisors (see below), whose sum is σ = 350979552. Its totient is φ = 47139840.

The previous prime is 131427269. The next prime is 131427299. The reversal of 131427296 is 692724131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131427299) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352166 + ... + 352538.

It is an arithmetic number, because the mean of its divisors is an integer number (2437358).

Almost surely, 2131427296 is an apocalyptic number.

131427296 is a gapful number since it is divisible by the number (16) 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 131427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175489776).

131427296 is an abundant number, since it is smaller than the sum of its proper divisors (219552256).

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

131427296 is a wasteful number, since it uses less digits than its factorization.

131427296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 131427296 is about 11464.1744578491. The cubic root of 131427296 is about 508.4269046656.

The spelling of 131427296 in words is "one hundred thirty-one million, four hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 373 416 484 572 616 728 746 847 968 1001 1144 1232 1456 1492 1573 1694 1936 2002 2288 2464 2611 2912 2984 3146 3388 3872 4004 4103 4576 4849 5222 5968 6292 6776 8008 8206 9698 10444 11011 11936 12584 13552 16016 16412 19396 20888 22022 25168 27104 28721 32032 32824 33943 38792 41776 44044 45133 50336 53339 57442 65648 67886 77584 83552 88088 90266 106678 114884 131296 135772 155168 176176 180532 213356 229768 271544 315931 352352 361064 373373 426712 459536 543088 586729 631862 722128 746746 853424 919072 1086176 1173458 1263724 1444256 1493492 1706848 2346916 2527448 2986984 4107103 4693832 5054896 5973968 8214206 9387664 10109792 11947936 16428412 18775328 32856824 65713648 131427296