Search a number
-
+
157326072 = 23323377703
BaseRepresentation
bin10010110000010…
…01101011111000
3101222000222210120
421120021223320
5310233413242
623340013240
73620151411
oct1130115370
9358028716
10157326072
1180896452
1244831220
1326795667
1416c74808
15dc2a1ec
hex9609af8

157326072 has 64 divisors (see below), whose sum is σ = 421562880. Its totient is φ = 48799872.

The previous prime is 157326053. The next prime is 157326077. The reversal of 157326072 is 270623751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157326077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16573 + ... + 24275.

It is an arithmetic number, because the mean of its divisors is an integer number (6586920).

Almost surely, 2157326072 is an apocalyptic number.

157326072 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 157326072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210781440).

157326072 is an abundant number, since it is smaller than the sum of its proper divisors (264236808).

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

157326072 is a wasteful number, since it uses less digits than its factorization.

157326072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 157326072 is about 12542.9690265104. The cubic root of 157326072 is about 539.8422859036.

The spelling of 157326072 in words is "one hundred fifty-seven million, three hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6808 7703 10212 15406 20424 23109 30812 46218 61624 92436 177169 184872 285011 354338 531507 570022 708676 855033 1063014 1140044 1417352 1710066 2126028 2280088 3420132 4252056 6555253 6840264 13110506 19665759 26221012 39331518 52442024 78663036 157326072