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57989120 = 21157809
BaseRepresentation
bin1101110100110…
…1100000000000
311001010011010012
43131031200000
5104321122440
65430524052
71302620330
oct335154000
9131104105
1057989120
112a8080a2
1217506628
13c0248b7
1479b70c0
155156e65
hex374d800

57989120 has 96 divisors (see below), whose sum is σ = 159213600. Its totient is φ = 19857408.

The previous prime is 57989093. The next prime is 57989123. The reversal of 57989120 is 2198975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57989123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71276 + ... + 72084.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 257989120 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 57989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

57989120 is an abundant number, since it is smaller than the sum of its proper divisors (101224480).

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

57989120 is an equidigital number, since it uses as much as digits as its factorization.

57989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 57989120 is about 7615.0587653675. The cubic root of 57989120 is about 387.0634584470.

The spelling of 57989120 in words is "fifty-seven million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 809 896 1024 1120 1280 1618 1792 2048 2240 2560 3236 3584 4045 4480 5120 5663 6472 7168 8090 8960 10240 11326 12944 14336 16180 17920 22652 25888 28315 32360 35840 45304 51776 56630 64720 71680 90608 103552 113260 129440 181216 207104 226520 258880 362432 414208 453040 517760 724864 828416 906080 1035520 1449728 1656832 1812160 2071040 2899456 3624320 4142080 5798912 7248640 8284160 11597824 14497280 28994560 57989120