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57230040 = 2335729733
BaseRepresentation
bin1101101001010…
…0001011011000
310222200120212010
43122110023120
5104122330130
65402345520
71263306300
oct332241330
9128616763
1057230040
112a33985a
12171bb2a0
13bb1a23a
14785a600
1550570b0
hex36942d8

57230040 has 96 divisors (see below), whose sum is σ = 199741680. Its totient is φ = 13079808.

The previous prime is 57230039. The next prime is 57230087. The reversal of 57230040 is 4003275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 57229989 and 57230016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014 + ... + 10746.

Almost surely, 257230040 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 57230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99870840).

57230040 is an abundant number, since it is smaller than the sum of its proper divisors (142511640).

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

57230040 is a wasteful number, since it uses less digits than its factorization.

57230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 57230040 is about 7565.0538662986. The cubic root of 57230040 is about 385.3671428876.

The spelling of 57230040 in words is "fifty-seven million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 9733 19466 29199 38932 48665 58398 68131 77864 97330 116796 136262 145995 194660 204393 233592 272524 291990 340655 389320 408786 476917 545048 583980 681310 817572 953834 1021965 1167960 1362620 1430751 1635144 1907668 2043930 2384585 2725240 2861502 3815336 4087860 4769170 5723004 7153755 8175720 9538340 11446008 14307510 19076680 28615020 57230040