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57240720 = 24325107743
BaseRepresentation
bin1101101001011…
…0110010010000
310222201010111200
43122112302100
5104123200340
65402511200
71263352365
oct332266220
9128633450
1057240720
112a346889
1217205500
13bb22064
14786046c
15505a330
hex3696c90

57240720 has 120 divisors (see below), whose sum is σ = 194291136. Its totient is φ = 15101184.

The previous prime is 57240691. The next prime is 57240727. The reversal of 57240720 is 2704275.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×572407202 = 6553000052236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57240727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76669 + ... + 77411.

Almost surely, 257240720 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 57240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97145568).

57240720 is an abundant number, since it is smaller than the sum of its proper divisors (137050416).

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

57240720 is a wasteful number, since it uses less digits than its factorization.

57240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57240720 is about 7565.7597106966. The cubic root of 57240720 is about 385.3911131958.

Adding to 57240720 its reverse (2704275), we get a palindrome (59944995).

The spelling of 57240720 in words is "fifty-seven million, two hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 743 856 963 1070 1284 1486 1605 1712 1926 2140 2229 2568 2972 3210 3715 3852 4280 4458 4815 5136 5944 6420 6687 7430 7704 8560 8916 9630 11145 11888 12840 13374 14860 15408 17832 19260 22290 25680 26748 29720 33435 35664 38520 44580 53496 59440 66870 77040 79501 89160 106992 133740 159002 178320 238503 267480 318004 397505 477006 534960 636008 715509 795010 954012 1192515 1272016 1431018 1590020 1908024 2385030 2862036 3180040 3577545 3816048 4770060 5724072 6360080 7155090 9540120 11448144 14310180 19080240 28620360 57240720