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57593340 = 223257431063
BaseRepresentation
bin1101101110110…
…0110111111100
311000101001012200
43123230313330
5104220441330
65414231500
71266351420
oct333546774
9130331180
1057593340
112a567802
1217355590
13bc166cc
147912b80
1550c9a60
hex36ecdfc

57593340 has 144 divisors (see below), whose sum is σ = 204492288. Its totient is φ = 12845952.

The previous prime is 57593339. The next prime is 57593353. The reversal of 57593340 is 4339575.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57593295 and 57593304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53649 + ... + 54711.

Almost surely, 257593340 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 57593340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102246144).

57593340 is an abundant number, since it is smaller than the sum of its proper divisors (146898948).

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

57593340 is a wasteful number, since it uses less digits than its factorization.

57593340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 57593340 is about 7589.0276056949. The cubic root of 57593340 is about 386.1808686405.

The spelling of 57593340 in words is "fifty-seven million, five hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1063 1204 1260 1290 1505 1548 1806 1935 2126 2580 2709 3010 3189 3612 3870 4252 4515 5315 5418 6020 6378 7441 7740 9030 9567 10630 10836 12756 13545 14882 15945 18060 19134 21260 22323 27090 29764 31890 37205 38268 44646 45709 47835 54180 63780 66969 74410 89292 91418 95670 111615 133938 137127 148820 182836 191340 223230 228545 267876 274254 319963 334845 411381 446460 457090 548508 639926 669690 685635 822762 914180 959889 1279852 1339380 1371270 1599815 1645524 1919778 2056905 2742540 2879667 3199630 3839556 4113810 4799445 5759334 6399260 8227620 9598890 11518668 14398335 19197780 28796670 57593340