[go: up one dir, main page]

Search a number
-
+
157446660 = 223572291637
BaseRepresentation
bin10010110001001…
…11001000000100
3101222021010012210
421120213020010
5310301243120
623342343420
73621163110
oct1130471004
9358233183
10157446660
1180969008
124488ab70
1326808507
1416ca6740
15dc50ce0
hex9627204

157446660 has 96 divisors (see below), whose sum is σ = 506338560. Its totient is φ = 35808768.

The previous prime is 157446659. The next prime is 157446671. The reversal of 157446660 is 66644751.

157446660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95362 + ... + 96998.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2157446660 is an apocalyptic number.

157446660 is a gapful number since it is divisible by the number (10) 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 157446660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253169280).

157446660 is an abundant number, since it is smaller than the sum of its proper divisors (348891900).

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

157446660 is a wasteful number, since it uses less digits than its factorization.

157446660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 157446660 is about 12547.7751015867. The cubic root of 157446660 is about 539.9801775988.

The spelling of 157446660 in words is "one hundred fifty-seven million, four hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 229 420 458 687 916 1145 1374 1603 1637 2290 2748 3206 3274 3435 4580 4809 4911 6412 6548 6870 8015 8185 9618 9822 11459 13740 16030 16370 19236 19644 22918 24045 24555 32060 32740 34377 45836 48090 49110 57295 68754 96180 98220 114590 137508 171885 229180 343770 374873 687540 749746 1124619 1499492 1874365 2249238 2624111 3748730 4498476 5248222 5623095 7497460 7872333 10496444 11246190 13120555 15744666 22492380 26241110 31489332 39361665 52482220 78723330 157446660