Search a number
-
+
157381110 = 23353118803
BaseRepresentation
bin10010110000101…
…11000111110110
3101222010210022000
421120113013312
5310242143420
623341120130
73620501025
oct1130270766
9358123260
10157381110
1180923837
1244859046
13267b4723
1416c8a8bc
15dc3b690
hex96171f6

157381110 has 64 divisors (see below), whose sum is σ = 433244160. Its totient is φ = 40612320.

The previous prime is 157381099. The next prime is 157381163. The reversal of 157381110 is 11183751.

157381110 is a `hidden beast` number, since 1 + 573 + 81 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1032 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (6769440).

Almost surely, 2157381110 is an apocalyptic number.

157381110 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 157381110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216622080).

157381110 is an abundant number, since it is smaller than the sum of its proper divisors (275863050).

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

157381110 is a wasteful number, since it uses less digits than its factorization.

157381110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18850 (or 18844 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 157381110 is about 12545.1628128136. The cubic root of 157381110 is about 539.9052302825.

The spelling of 157381110 in words is "one hundred fifty-seven million, three hundred eighty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 18803 37606 56409 94015 112818 169227 188030 282045 338454 507681 564090 582893 846135 1015362 1165786 1692270 1748679 2538405 2914465 3497358 5076810 5246037 5828930 8743395 10492074 15738111 17486790 26230185 31476222 52460370 78690555 157381110