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57002190 = 23572172281
BaseRepresentation
bin1101100101110…
…0100011001110
310222021000022020
43121130203032
5104043032230
65353431010
71261340100
oct331344316
9128230266
1057002190
112a1a3653
121710b466
13ba6a60b
1477db570
15500e810
hex365c8ce

57002190 has 96 divisors (see below), whose sum is σ = 168575904. Its totient is φ = 12257280.

The previous prime is 57002171. The next prime is 57002203. The reversal of 57002190 is 9120075.

It is a super-2 number, since 2×570021902 = 6498499329592200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57002190.

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, 23850 + ... + 26130.

It is an arithmetic number, because the mean of its divisors is an integer number (1755999).

Almost surely, 257002190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57002190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84287952).

57002190 is an abundant number, since it is smaller than the sum of its proper divisors (111573714).

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

57002190 is a wasteful number, since it uses less digits than its factorization.

57002190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 57002190 is about 7549.9794701708. The cubic root of 57002190 is about 384.8550418467.

The spelling of 57002190 in words is "fifty-seven million, two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1470 1666 1785 2281 2499 3570 4165 4562 4998 6843 8330 11405 12495 13686 15967 22810 24990 31934 34215 38777 47901 68430 77554 79835 95802 111769 116331 159670 193885 223538 232662 239505 271439 335307 387770 479010 542878 558845 581655 670614 814317 1117690 1163310 1357195 1628634 1676535 1900073 2714390 3353070 3800146 4071585 5700219 8143170 9500365 11400438 19000730 28501095 57002190