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57260190 = 23513413581
BaseRepresentation
bin1101101001101…
…1100010011110
310222202010012210
43122123202132
5104124311230
65403141250
71263463221
oct332334236
9128663183
1057260190
112a35a479
1217214826
13bb2ab90
1478675b8
155060eb0
hex369b89e

57260190 has 64 divisors (see below), whose sum is σ = 151647552. Its totient is φ = 13747200.

The previous prime is 57260183. The next prime is 57260191. The reversal of 57260190 is 9106275.

It is a super-2 number, since 2×572601902 = 6557458717672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57260191) 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, 14200 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (2369493).

Almost surely, 257260190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57260190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75823776).

57260190 is an abundant number, since it is smaller than the sum of its proper divisors (94387362).

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

57260190 is a wasteful number, since it uses less digits than its factorization.

57260190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 57260190 is about 7567.0463194036. The cubic root of 57260190 is about 385.4348042045.

The spelling of 57260190 in words is "fifty-seven million, two hundred sixty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 2665 3198 3581 5330 7162 7995 10743 15990 17905 21486 35810 46553 53715 93106 107430 139659 146821 232765 279318 293642 440463 465530 698295 734105 880926 1396590 1468210 1908673 2202315 3817346 4404630 5726019 9543365 11452038 19086730 28630095 57260190