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287470040 = 2351113291733
BaseRepresentation
bin10001001000100…
…111000111011000
3202000220222202112
4101020213013120
51042043020130
644305251452
710060312034
oct2110470730
9660828675
10287470040
111382a6550
1280333b88
1347731820
142a2711c4
151a386495
hex112271d8

287470040 has 128 divisors (see below), whose sum is σ = 786542400. Its totient is φ = 93112320.

The previous prime is 287469997. The next prime is 287470061. The reversal of 287470040 is 40074782.

It is a junction number, because it is equal to n+sod(n) for n = 287469979 and 287470006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165014 + ... + 166746.

Almost surely, 2287470040 is an apocalyptic number.

287470040 is a gapful number since it is divisible by the number (20) 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 287470040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393271200).

287470040 is an abundant number, since it is smaller than the sum of its proper divisors (499072360).

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

287470040 is a wasteful number, since it uses less digits than its factorization.

287470040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 287470040 is about 16954.9414625943. The cubic root of 287470040 is about 659.9801340822.

The spelling of 287470040 in words is "two hundred eighty-seven million, four hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 29 40 44 52 55 58 65 88 104 110 116 130 143 145 220 232 260 286 290 319 377 440 520 572 580 638 715 754 1144 1160 1276 1430 1508 1595 1733 1885 2552 2860 3016 3190 3466 3770 4147 5720 6380 6932 7540 8294 8665 12760 13864 15080 16588 17330 19063 20735 22529 33176 34660 38126 41470 45058 50257 69320 76252 82940 90116 95315 100514 112645 152504 165880 180232 190630 201028 225290 247819 251285 381260 402056 450580 495638 502570 552827 653341 762520 901160 991276 1005140 1105654 1239095 1306682 1982552 2010280 2211308 2478190 2613364 2764135 3266705 4422616 4956380 5226728 5528270 6533410 7186751 9912760 11056540 13066820 14373502 22113080 26133640 28747004 35933755 57494008 71867510 143735020 287470040