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131003904 = 2931729173
BaseRepresentation
bin1111100111011…
…11011000000000
3100010111200120110
413303233120000
5232014111104
620555511320
73150341403
oct763573000
9303450513
10131003904
1167a48199
1237a58540
13211aa705
1413581d3a
15b77ae89
hex7cef600

131003904 has 160 divisors (see below), whose sum is σ = 384484320. Its totient is φ = 39452672.

The previous prime is 131003903. The next prime is 131003909. The reversal of 131003904 is 409300131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757162 + ... + 757334.

It is an arithmetic number, because the mean of its divisors is an integer number (2403027).

Almost surely, 2131003904 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 131003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192242160).

131003904 is an abundant number, since it is smaller than the sum of its proper divisors (253480416).

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

131003904 is a wasteful number, since it uses less digits than its factorization.

131003904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131003904 is about 11445.6936880208. The cubic root of 131003904 is about 507.8803529163.

The spelling of 131003904 in words is "one hundred thirty-one million, three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 173 174 192 204 232 256 272 346 348 384 408 464 493 512 519 544 692 696 768 816 928 986 1038 1088 1384 1392 1479 1536 1632 1856 1972 2076 2176 2768 2784 2941 2958 3264 3712 3944 4152 4352 5017 5536 5568 5882 5916 6528 7424 7888 8304 8704 8823 10034 11072 11136 11764 11832 13056 14848 15051 15776 16608 17646 20068 22144 22272 23528 23664 26112 30102 31552 33216 35292 40136 44288 44544 47056 47328 60204 63104 66432 70584 80272 85289 88576 94112 94656 120408 126208 132864 141168 160544 170578 188224 189312 240816 252416 255867 265728 282336 321088 341156 376448 378624 481632 511734 564672 642176 682312 752896 757248 963264 1023468 1129344 1284352 1364624 1505792 1926528 2046936 2258688 2568704 2729248 3853056 4093872 4517376 5458496 7706112 8187744 10916992 16375488 21833984 32750976 43667968 65501952 131003904