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57203680 = 2551931607
BaseRepresentation
bin1101101000110…
…1101111100000
310222122020200211
43122031233200
5104121004210
65402023504
71263136402
oct332155740
9128566624
1057203680
112a320a76
12171a7b94
13bb0b241
147850b72
15504e38a
hex368dbe0

57203680 has 96 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 20943360.

The previous prime is 57203621. The next prime is 57203687. The reversal of 57203680 is 8630275.

It is a super-2 number, since 2×572036802 = 6544522011084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57203687) 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, 93937 + ... + 94543.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 257203680 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 57203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

57203680 is an abundant number, since it is smaller than the sum of its proper divisors (89883680).

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

57203680 is a wasteful number, since it uses less digits than its factorization.

57203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 57203680 is about 7563.3114440700. The cubic root of 57203680 is about 385.3079674504.

The spelling of 57203680 in words is "fifty-seven million, two hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 607 608 620 760 992 1178 1214 1240 1520 2356 2428 2480 2945 3035 3040 4712 4856 4960 5890 6070 9424 9712 11533 11780 12140 18817 18848 19424 23066 23560 24280 37634 46132 47120 48560 57665 75268 92264 94085 94240 97120 115330 150536 184528 188170 230660 301072 357523 369056 376340 461320 602144 715046 752680 922640 1430092 1505360 1787615 1845280 2860184 3010720 3575230 5720368 7150460 11440736 14300920 28601840 57203680