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57358720 = 275195389
BaseRepresentation
bin1101101011001…
…1100110000000
310222221010101001
43122303212000
5104140434340
65405221344
71264353406
oct332634600
9128833331
1057358720
112a417501
1217261854
13bb63993
147891476
15508029a
hex36b3980

57358720 has 128 divisors (see below), whose sum is σ = 148716000. Its totient is φ = 21086208.

The previous prime is 57358681. The next prime is 57358733. The reversal of 57358720 is 2785375.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 57358720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644436 + ... + 644524.

Almost surely, 257358720 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 57358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74358000).

57358720 is an abundant number, since it is smaller than the sum of its proper divisors (91357280).

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

57358720 is a wasteful number, since it uses less digits than its factorization.

57358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 57358720 is about 7573.5539873959. The cubic root of 57358720 is about 385.6557554404.

The spelling of 57358720 in words is "fifty-seven million, three hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 89 95 106 128 152 160 178 190 212 265 304 320 356 380 424 445 530 608 640 712 760 848 890 1007 1060 1216 1424 1520 1691 1696 1780 2014 2120 2432 2848 3040 3382 3392 3560 4028 4240 4717 5035 5696 6080 6764 6784 7120 8056 8455 8480 9434 10070 11392 12160 13528 14240 16112 16910 16960 18868 20140 23585 27056 28480 32224 33820 33920 37736 40280 47170 54112 56960 64448 67640 75472 80560 89623 94340 108224 128896 135280 150944 161120 179246 188680 216448 270560 301888 322240 358492 377360 448115 541120 603776 644480 716984 754720 896230 1082240 1433968 1509440 1792460 2867936 3018880 3584920 5735872 7169840 11471744 14339680 28679360 57358720