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57810340 = 2257292491
BaseRepresentation
bin1101110010000…
…1110110100100
311000210001212201
43130201312210
5104244412330
65423024244
71301244160
oct334416644
9130701781
1057810340
112a6a5845
121743b084
13bc91403
14796bca0
15511deca
hex3721da4

57810340 has 72 divisors (see below), whose sum is σ = 143986752. Its totient is φ = 19098240.

The previous prime is 57810323. The next prime is 57810341. The reversal of 57810340 is 4301875.

57810340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 57810299 and 57810308.

It is not an unprimeable number, because it can be changed into a prime (57810341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117495 + ... + 117985.

It is an arithmetic number, because the mean of its divisors is an integer number (1999816).

Almost surely, 257810340 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 57810340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71993376).

57810340 is an abundant number, since it is smaller than the sum of its proper divisors (86176412).

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

57810340 is a wasteful number, since it uses less digits than its factorization.

57810340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 57810340 is about 7603.3111208210. The cubic root of 57810340 is about 386.6652777728.

The spelling of 57810340 in words is "fifty-seven million, eight hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 491 580 812 841 982 1015 1682 1964 2030 2455 3364 3437 4060 4205 4910 5887 6874 8410 9820 11774 13748 14239 16820 17185 23548 28478 29435 34370 56956 58870 68740 71195 99673 117740 142390 199346 284780 398692 412931 498365 825862 996730 1651724 1993460 2064655 2890517 4129310 5781034 8258620 11562068 14452585 28905170 57810340