Search a number
-
+
157713678 = 232311791579
BaseRepresentation
bin10010110011010…
…00010100001110
3101222202200111100
421121220110032
5310333314203
623352203530
73623354433
oct1131502416
9358680440
10157713678
1181030691
12449995a6
132689cc05
1416d35b8a
15dca4ea3
hex966850e

157713678 has 48 divisors (see below), whose sum is σ = 354931200. Its totient is φ = 50559120.

The previous prime is 157713659. The next prime is 157713679. The reversal of 157713678 is 876317751.

157713678 is a `hidden beast` number, since 1 + 577 + 1 + 3 + 6 + 78 = 666.

157713678 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157713679) 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, 99093 + ... + 100671.

It is an arithmetic number, because the mean of its divisors is an integer number (7394400).

Almost surely, 2157713678 is an apocalyptic number.

157713678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157713678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177465600).

157713678 is an abundant number, since it is smaller than the sum of its proper divisors (197217522).

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

157713678 is a wasteful number, since it uses less digits than its factorization.

157713678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1794 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 157713678 is about 12558.4106478487. The cubic root of 157713678 is about 540.2852608040.

The spelling of 157713678 in words is "one hundred fifty-seven million, seven hundred thirteen thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 179 186 279 358 537 558 1074 1579 1611 3158 3222 4737 5549 9474 11098 14211 16647 28422 33294 48949 49941 97898 99882 146847 282641 293694 440541 565282 847923 881082 1695846 2543769 5087538 8761871 17523742 26285613 52571226 78856839 157713678