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57144340 = 225111092383
BaseRepresentation
bin1101100111111…
…1010000010100
310222112020022001
43121333100110
5104112104330
65400445044
71262501401
oct331772024
9128466261
1057144340
112a290430
1217179784
13baba226
1478372a8
15503b9ca
hex367f414

57144340 has 48 divisors (see below), whose sum is σ = 132168960. Its totient is φ = 20580480.

The previous prime is 57144337. The next prime is 57144359. The reversal of 57144340 is 4344175.

It is a junction number, because it is equal to n+sod(n) for n = 57144299 and 57144308.

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, 22789 + ... + 25171.

It is an arithmetic number, because the mean of its divisors is an integer number (2753520).

Almost surely, 257144340 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 57144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66084480).

57144340 is an abundant number, since it is smaller than the sum of its proper divisors (75024620).

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

57144340 is a wasteful number, since it uses less digits than its factorization.

57144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 57144340 is about 7559.3875413290. The cubic root of 57144340 is about 385.1746888143.

The spelling of 57144340 in words is "fifty-seven million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 1090 1199 2180 2383 2398 4766 4796 5995 9532 11915 11990 23830 23980 26213 47660 52426 104852 131065 259747 262130 519494 524260 1038988 1298735 2597470 2857217 5194940 5714434 11428868 14286085 28572170 57144340