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57014040 = 23353712841
BaseRepresentation
bin1101100101111…
…1011100011000
310222021121120010
43121133130120
5104043422130
65354001520
71261416456
oct331373430
9128247503
1057014040
112a201546
12171162a0
13ba72b25
1478019d6
1550130b0
hex365f718

57014040 has 64 divisors (see below), whose sum is σ = 175678560. Its totient is φ = 14791680.

The previous prime is 57014021. The next prime is 57014051. The reversal of 57014040 is 4041075.

It is a junction number, because it is equal to n+sod(n) for n = 57013998 and 57014016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 10860.

Almost surely, 257014040 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 57014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87839280).

57014040 is an abundant number, since it is smaller than the sum of its proper divisors (118664520).

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

57014040 is a wasteful number, since it uses less digits than its factorization.

57014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892 (or 12888 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 57014040 is about 7550.7641997350. The cubic root of 57014040 is about 384.8817087535.

The spelling of 57014040 in words is "fifty-seven million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 12841 25682 38523 51364 64205 77046 102728 128410 154092 192615 256820 308184 385230 475117 513640 770460 950234 1425351 1540920 1900468 2375585 2850702 3800936 4751170 5701404 7126755 9502340 11402808 14253510 19004680 28507020 57014040