Search a number
-
+
157528780 = 225431131621
BaseRepresentation
bin10010110001110…
…11001011001100
3101222102021212021
421120323023030
5310311410110
623344215524
73621654403
oct1130731314
9358367767
10157528780
1180a14782
124490a5a4
13268369c6
1416cc863a
15dc6a2da
hex963b2cc

157528780 has 48 divisors (see below), whose sum is σ = 341709984. Its totient is φ = 60963840.

The previous prime is 157528757. The next prime is 157528781. The reversal of 157528780 is 87825751.

157528780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (157528781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96370 + ... + 97990.

It is an arithmetic number, because the mean of its divisors is an integer number (7118958).

Almost surely, 2157528780 is an apocalyptic number.

157528780 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 157528780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170854992).

157528780 is an abundant number, since it is smaller than the sum of its proper divisors (184181204).

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

157528780 is a wasteful number, since it uses less digits than its factorization.

157528780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 43.

The square root of 157528780 is about 12551.0469682812. The cubic root of 157528780 is about 540.0740410592.

The spelling of 157528780 in words is "one hundred fifty-seven million, five hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 113 172 215 226 430 452 565 860 1130 1621 2260 3242 4859 6484 8105 9718 16210 19436 24295 32420 48590 69703 97180 139406 183173 278812 348515 366346 697030 732692 915865 1394060 1831730 3663460 7876439 15752878 31505756 39382195 78764390 157528780