Search a number
-
+
857213720 = 2351115712409
BaseRepresentation
bin110011000110000…
…000101100011000
32012201222222011022
4303012000230120
53223421314340
6221021022012
730146124236
oct6306005430
92181888138
10857213720
113aa9693a0
121bb0b4908
1310879586c
1481bbd956
15503c93b5
hex33180b18

857213720 has 64 divisors (see below), whose sum is σ = 2117642400. Its totient is φ = 309703680.

The previous prime is 857213719. The next prime is 857213723. The reversal of 857213720 is 27312758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857213723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62876 + ... + 75284.

Almost surely, 2857213720 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 857213720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058821200).

857213720 is an abundant number, since it is smaller than the sum of its proper divisors (1260428680).

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

857213720 is a wasteful number, since it uses less digits than its factorization.

857213720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 857213720 is about 29278.2123771244. The cubic root of 857213720 is about 949.9404283975.

The spelling of 857213720 in words is "eight hundred fifty-seven million, two hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 12409 13816 17270 24818 34540 49636 62045 69080 99272 124090 136499 248180 272998 496360 545996 682495 1091992 1364990 1948213 2729980 3896426 5459960 7792852 9741065 15585704 19482130 21430343 38964260 42860686 77928520 85721372 107151715 171442744 214303430 428606860 857213720