Search a number
-
+
57378060 = 223251721103
BaseRepresentation
bin1101101011100…
…0010100001100
310222222002220100
43122320110030
5104142044220
65405451100
71264463655
oct332702414
9128862810
1057378060
112a42aa93
1217270a90
13bb6c71c
14789852c
155085d90
hex36b850c

57378060 has 108 divisors (see below), whose sum is σ = 185054688. Its totient is φ = 14387712.

The previous prime is 57378049. The next prime is 57378067. The reversal of 57378060 is 6087375.

57378060 is a `hidden beast` number, since 573 + 7 + 80 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57378067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51469 + ... + 52571.

Almost surely, 257378060 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 57378060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92527344).

57378060 is an abundant number, since it is smaller than the sum of its proper divisors (127676628).

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

57378060 is a wasteful number, since it uses less digits than its factorization.

57378060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57378060 is about 7574.8306911772. The cubic root of 57378060 is about 385.6990952277.

The spelling of 57378060 in words is "fifty-seven million, three hundred seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1103 1156 1445 1530 1734 2206 2601 2890 3060 3309 3468 4335 4412 5202 5515 5780 6618 8670 9927 10404 11030 13005 13236 16545 17340 18751 19854 22060 26010 33090 37502 39708 49635 52020 56253 66180 75004 93755 99270 112506 168759 187510 198540 225012 281265 318767 337518 375020 562530 637534 675036 843795 956301 1125060 1275068 1593835 1687590 1912602 2868903 3187670 3375180 3825204 4781505 5737806 6375340 9563010 11475612 14344515 19126020 28689030 57378060