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57053040 = 24351121611
BaseRepresentation
bin1101100110100…
…0111101110000
310222100121001120
43121220331300
5104101144130
65354502240
71261641252
oct331507560
9128317046
1057053040
112a228880
1217134980
13ba877c5
147811cd2
15501e910
hex3668f70

57053040 has 80 divisors (see below), whose sum is σ = 192951936. Its totient is φ = 13830400.

The previous prime is 57053033. The next prime is 57053057. The reversal of 57053040 is 4035075.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57053040.

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, 8166 + ... + 13445.

Almost surely, 257053040 is an apocalyptic number.

It is an amenable number.

57053040 is an abundant number, since it is smaller than the sum of its proper divisors (135898896).

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

57053040 is a wasteful number, since it uses less digits than its factorization.

57053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21638 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 57053040 is about 7553.3462783061. The cubic root of 57053040 is about 384.9694471735.

The spelling of 57053040 in words is "fifty-seven million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 21611 43222 64833 86444 108055 129666 172888 216110 237721 259332 324165 345776 432220 475442 518664 648330 713163 864440 950884 1037328 1188605 1296660 1426326 1728880 1901768 2377210 2593320 2852652 3565815 3803536 4754420 5186640 5705304 7131630 9508840 11410608 14263260 19017680 28526520 57053040