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57880680 = 233511133373
BaseRepresentation
bin1101110011001…
…1000001101000
311000220122100220
43130303001220
5104304140210
65424330040
71301656224
oct334630150
9130818326
1057880680
112a743680
1217473920
13bcb7430
147989784
155134c70
hex3733068

57880680 has 128 divisors (see below), whose sum is σ = 204059520. Its totient is φ = 12948480.

The previous prime is 57880679. The next prime is 57880681. The reversal of 57880680 is 8608875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57880679) and next prime (57880681).

It is not an unprimeable number, because it can be changed into a prime (57880681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15474 + ... + 18846.

It is an arithmetic number, because the mean of its divisors is an integer number (1594215).

Almost surely, 257880680 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 57880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102029760).

57880680 is an abundant number, since it is smaller than the sum of its proper divisors (146178840).

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

57880680 is a wasteful number, since it uses less digits than its factorization.

57880680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 57880680 is about 7607.9353309554. The cubic root of 57880680 is about 386.8220375735.

The spelling of 57880680 in words is "fifty-seven million, eight hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3373 3432 4290 5720 6746 8580 10119 13492 16865 17160 20238 26984 33730 37103 40476 43849 50595 67460 74206 80952 87698 101190 111309 131547 134920 148412 175396 185515 202380 219245 222618 263094 296824 350792 371030 404760 438490 445236 482339 526188 556545 657735 742060 876980 890472 964678 1052376 1113090 1315470 1447017 1484120 1753960 1929356 2226180 2411695 2630940 2894034 3858712 4452360 4823390 5261880 5788068 7235085 9646780 11576136 14470170 19293560 28940340 57880680