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57199320 = 23325592693
BaseRepresentation
bin1101101000110…
…0101011011000
310222122000201100
43122030223120
5104120334240
65401551400
71263120603
oct332145330
9128560640
1057199320
112a318772
12171a5560
13bb09269
14784d33a
15504ce30
hex368cad8

57199320 has 96 divisors (see below), whose sum is σ = 189118800. Its totient is φ = 14989056.

The previous prime is 57199301. The next prime is 57199327. The reversal of 57199320 is 2399175.

57199320 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57199327) 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, 19894 + ... + 22586.

Almost surely, 257199320 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 57199320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94559400).

57199320 is an abundant number, since it is smaller than the sum of its proper divisors (131919480).

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

57199320 is a wasteful number, since it uses less digits than its factorization.

57199320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 57199320 is about 7563.0232050418. The cubic root of 57199320 is about 385.2981779554.

The spelling of 57199320 in words is "fifty-seven million, one hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1416 1770 2124 2360 2655 2693 3540 4248 5310 5386 7080 8079 10620 10772 13465 16158 21240 21544 24237 26930 32316 40395 48474 53860 64632 80790 96948 107720 121185 158887 161580 193896 242370 317774 323160 476661 484740 635548 794435 953322 969480 1271096 1429983 1588870 1906644 2383305 2859966 3177740 3813288 4766610 5719932 6355480 7149915 9533220 11439864 14299830 19066440 28599660 57199320