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59057020 = 22511331811
BaseRepresentation
bin1110000101001…
…0001101111100
311010010102000001
43201102031330
5110104311040
65505444044
71314655621
oct341221574
9133112001
1059057020
1130377460
1217940624
13c3099a9
147bb4348
1552b859a
hex385237c

59057020 has 48 divisors (see below), whose sum is σ = 135870336. Its totient is φ = 21384000.

The previous prime is 59056979. The next prime is 59057041. The reversal of 59057020 is 2075095.

59057020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×590570202 = 6975463222560800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 59057020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72415 + ... + 73225.

It is an arithmetic number, because the mean of its divisors is an integer number (2830632).

Almost surely, 259057020 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 59057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67935168).

59057020 is an abundant number, since it is smaller than the sum of its proper divisors (76813316).

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

59057020 is a wasteful number, since it uses less digits than its factorization.

59057020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 59057020 is about 7684.8565373727. The cubic root of 59057020 is about 389.4250128779.

The spelling of 59057020 in words is "fifty-nine million, fifty-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 811 1324 1622 1655 3244 3310 3641 4055 6620 7282 8110 8921 14564 16220 17842 18205 35684 36410 44605 72820 89210 178420 268441 536882 1073764 1342205 2684410 2952851 5368820 5905702 11811404 14764255 29528510 59057020