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57235420 = 22511267353
BaseRepresentation
bin1101101001010…
…1011111011100
310222200212020101
43122111133130
5104123013140
65402430444
71263331054
oct332253734
9128625211
1057235420
112a342900
1217202424
13bb1c818
14785c564
15505899a
hex36957dc

57235420 has 72 divisors (see below), whose sum is σ = 134466192. Its totient is φ = 20444160.

The previous prime is 57235363. The next prime is 57235427. The reversal of 57235420 is 2453275.

57235420 = T409 + T410 + ... + T743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57235427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161964 + ... + 162316.

It is an arithmetic number, because the mean of its divisors is an integer number (1867586).

Almost surely, 257235420 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 57235420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67233096).

57235420 is an abundant number, since it is smaller than the sum of its proper divisors (77230772).

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

57235420 is a wasteful number, since it uses less digits than its factorization.

57235420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 57235420 is about 7565.4094403410. The cubic root of 57235420 is about 385.3792181909.

Adding to 57235420 its reverse (2453275), we get a palindrome (59688695).

The spelling of 57235420 in words is "fifty-seven million, two hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 353 484 605 670 706 737 1210 1340 1412 1474 1765 2420 2948 3530 3685 3883 7060 7370 7766 8107 14740 15532 16214 19415 23651 32428 38830 40535 42713 47302 77660 81070 85426 94604 118255 162140 170852 213565 236510 260161 427130 473020 520322 854260 1040644 1300805 2601610 2861771 5203220 5723542 11447084 14308855 28617710 57235420