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157728330 = 23352292551
BaseRepresentation
bin10010110011010…
…11111001001010
3101222210102121000
421121223321022
5310334301310
623352355430
73623445234
oct1131537112
9358712530
10157728330
11810406a1
12449a5b76
13268a6796
1416d3b254
15dca94c0
hex966be4a

157728330 has 64 divisors (see below), whose sum is σ = 422611200. Its totient is φ = 41860800.

The previous prime is 157728317. The next prime is 157728359. The reversal of 157728330 is 33827751.

157728330 is a `hidden beast` number, since 1 + 577 + 2 + 83 + 3 + 0 = 666.

157728330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 60555 + ... + 63105.

It is an arithmetic number, because the mean of its divisors is an integer number (6603300).

Almost surely, 2157728330 is an apocalyptic number.

157728330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157728330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211305600).

157728330 is an abundant number, since it is smaller than the sum of its proper divisors (264882870).

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

157728330 is a wasteful number, since it uses less digits than its factorization.

157728330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 157728330 is about 12558.9939883734. The cubic root of 157728330 is about 540.3019915755.

The spelling of 157728330 in words is "one hundred fifty-seven million, seven hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 458 687 1145 1374 2061 2290 2551 3435 4122 5102 6183 6870 7653 10305 12366 12755 15306 20610 22959 25510 30915 38265 45918 61830 68877 76530 114795 137754 229590 344385 584179 688770 1168358 1752537 2920895 3505074 5257611 5841790 8762685 10515222 15772833 17525370 26288055 31545666 52576110 78864165 157728330