Search a number
-
+
157289118 = 23721015297
BaseRepresentation
bin10010110000000…
…00101010011110
3101221222010002220
421120000222132
5310231222433
623335130210
73616635600
oct1130005236
9357863086
10157289118
1180870708
1244813966
13267818ac
1416c65170
15dc1e2b3
hex9600a9e

157289118 has 48 divisors (see below), whose sum is σ = 369630864. Its totient is φ = 44486400.

The previous prime is 157289101. The next prime is 157289131. The reversal of 157289118 is 811982751.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 157289118.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27046 + ... + 32342.

It is an arithmetic number, because the mean of its divisors is an integer number (7700643).

Almost surely, 2157289118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157289118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184815432).

157289118 is an abundant number, since it is smaller than the sum of its proper divisors (212341746).

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

157289118 is a wasteful number, since it uses less digits than its factorization.

157289118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5410 counting only the distinct ones).

The product of its digits is 40320, while the sum is 42.

The square root of 157289118 is about 12541.4958437979. The cubic root of 157289118 is about 539.8000151095.

The spelling of 157289118 in words is "one hundred fifty-seven million, two hundred eighty-nine thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 707 1414 2121 4242 4949 5297 9898 10594 14847 15891 29694 31782 37079 74158 111237 222474 259553 519106 534997 778659 1069994 1557318 1604991 3209982 3744979 7489958 11234937 22469874 26214853 52429706 78644559 157289118