Search a number
-
+
157731072 = 283593
BaseRepresentation
bin10010110011011…
…00100100000000
3101222210120100120
421121230210000
5310334343242
623352420240
73623456232
oct1131544400
9358716316
10157731072
1181042764
12449a7680
13268a7ac5
1416d3c252
15dcaa1ec
hex966c900

157731072 has 72 divisors (see below), whose sum is σ = 427032480. Its totient is φ = 51685888.

The previous prime is 157731061. The next prime is 157731073. The reversal of 157731072 is 270137751.

157731072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157731073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2673379 + ... + 2673437.

Almost surely, 2157731072 is an apocalyptic number.

157731072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213516240).

157731072 is an abundant number, since it is smaller than the sum of its proper divisors (269301408).

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

157731072 is an frugal number, since it uses more digits than its factorization.

157731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 157731072 is about 12559.1031526937. The cubic root of 157731072 is about 540.3051224852.

The spelling of 157731072 in words is "one hundred fifty-seven million, seven hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3481 3776 5664 6962 7552 10443 11328 13924 15104 20886 22656 27848 41772 45312 55696 83544 111392 167088 205379 222784 334176 410758 445568 616137 668352 821516 891136 1232274 1336704 1643032 2464548 2673408 3286064 4929096 6572128 9858192 13144256 19716384 26288512 39432768 52577024 78865536 157731072