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57107430 = 235571331
BaseRepresentation
bin1101100111011…
…0001111100110
310222110100200000
43121312033212
5104104414210
65400002130
71262255652
oct331661746
9128410600
1057107430
112a265726
1217160346
13baa64a3
147827a62
155030ac0
hex36763e6

57107430 has 96 divisors (see below), whose sum is σ = 156619008. Its totient is φ = 14968800.

The previous prime is 57107429. The next prime is 57107431. The reversal of 57107430 is 3470175.

It is an interprime number because it is at equal distance from previous prime (57107429) and next prime (57107431).

It is a super-2 number, since 2×571074302 = 6522517122409800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57107394 and 57107403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57107431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172365 + ... + 172695.

It is an arithmetic number, because the mean of its divisors is an integer number (1631448).

Almost surely, 257107430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57107430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78309504).

57107430 is an abundant number, since it is smaller than the sum of its proper divisors (99511578).

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

57107430 is a wasteful number, since it uses less digits than its factorization.

57107430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57107430 is about 7556.9458116358. The cubic root of 57107430 is about 385.0917417847.

The spelling of 57107430 in words is "fifty-seven million, one hundred seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 243 270 331 355 405 426 486 639 662 710 810 993 1065 1215 1278 1655 1917 1986 2130 2430 2979 3195 3310 3834 4965 5751 5958 6390 8937 9585 9930 11502 14895 17253 17874 19170 23501 26811 28755 29790 34506 44685 47002 53622 57510 70503 80433 86265 89370 117505 134055 141006 160866 172530 211509 235010 268110 352515 402165 423018 634527 705030 804330 1057545 1269054 1903581 2115090 3172635 3807162 5710743 6345270 9517905 11421486 19035810 28553715 57107430