Search a number
-
+
57110040 = 233251312203
BaseRepresentation
bin1101100111011…
…0111000011000
310222110111020200
43121312320120
5104110010130
65400022200
71262266401
oct331667030
9128414220
1057110040
112a267689
1217161960
13baa7730
1478289a8
155031760
hex3676e18

57110040 has 96 divisors (see below), whose sum is σ = 199901520. Its totient is φ = 14056704.

The previous prime is 57109999. The next prime is 57110041. The reversal of 57110040 is 4001175.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 57109995 and 57110022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57110041) 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, 1422 + ... + 10781.

Almost surely, 257110040 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 57110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950760).

57110040 is an abundant number, since it is smaller than the sum of its proper divisors (142791480).

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

57110040 is a wasteful number, since it uses less digits than its factorization.

57110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 57110040 is about 7557.1184984755. The cubic root of 57110040 is about 385.0976083543.

The spelling of 57110040 in words is "fifty-seven million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 12203 24406 36609 48812 61015 73218 97624 109827 122030 146436 158639 183045 219654 244060 292872 317278 366090 439308 475917 488120 549135 634556 732180 793195 878616 951834 1098270 1269112 1427751 1464360 1586390 1903668 2196540 2379585 2855502 3172780 3807336 4393080 4759170 5711004 6345560 7138755 9518340 11422008 14277510 19036680 28555020 57110040