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5690648340 = 223251317143053
BaseRepresentation
bin1010100110011000…
…00110011100010100
3112200120221212222100
411103030012130110
543123301221330
62340402202100
7261006466326
oct52314063424
915616855870
105690648340
11246024a363
121129953330
136c8c75550
143bdac3616
152348cd060
hex153306714

5690648340 has 144 divisors (see below), whose sum is σ = 19683085968. Its totient is φ = 1318367232.

The previous prime is 5690648329. The next prime is 5690648387. The reversal of 5690648340 is 438460965.

5690648340 is a `hidden beast` number, since 569 + 0 + 6 + 4 + 83 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 320983056 + 5369665284 = 17916^2 + 73278^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31747 + ... + 111306.

It is an arithmetic number, because the mean of its divisors is an integer number (136688097).

Almost surely, 25690648340 is an apocalyptic number.

It is an amenable number.

5690648340 is an abundant number, since it is smaller than the sum of its proper divisors (13992437628).

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

5690648340 is a wasteful number, since it uses less digits than its factorization.

5690648340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143098 (or 143093 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5690648340 is about 75436.3860481134. The cubic root of 5690648340 is about 1785.3385512310.

The spelling of 5690648340 in words is "five billion, six hundred ninety million, six hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 143053 286106 429159 572212 715265 858318 1287477 1430530 1716636 1859689 2145795 2431901 2574954 2861060 3719378 4291590 4863802 5149908 5579067 6437385 7295703 7438756 8583180 9298445 9727604 11158134 12159505 12874770 14591406 16737201 18596890 21887109 22316268 24319010 25749540 27895335 29182812 31614713 33474402 36478515 37193780 43774218 48638020 55790670 63229426 66948804 72957030 83686005 87548436 94844139 109435545 111581340 126458852 145914060 158073565 167372010 189688278 218871090 284532417 316147130 334744020 379376556 437742180 474220695 569064834 632294260 948441390 1138129668 1422662085 1896882780 2845324170 5690648340