Search a number
-
+
157716140 = 225171313541
BaseRepresentation
bin10010110011010…
…00111010101100
3101222202210212112
421121220322230
5310333404030
623352223152
73623364551
oct1131507254
9358683775
10157716140
118103251a
124499aab8
13268a107a
1416d36a28
15dca5a95
hex9668eac

157716140 has 48 divisors (see below), whose sum is σ = 353463264. Its totient is φ = 58905600.

The previous prime is 157716121. The next prime is 157716151. The reversal of 157716140 is 41617751.

157716140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157716097 and 157716106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42770 + ... + 46310.

It is an arithmetic number, because the mean of its divisors is an integer number (7363818).

Almost surely, 2157716140 is an apocalyptic number.

157716140 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 157716140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176731632).

157716140 is an abundant number, since it is smaller than the sum of its proper divisors (195747124).

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

157716140 is a wasteful number, since it uses less digits than its factorization.

157716140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 157716140 is about 12558.5086694241. The cubic root of 157716140 is about 540.2880721759.

The spelling of 157716140 in words is "one hundred fifty-seven million, seven hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 131 170 262 340 524 655 1310 2227 2620 3541 4454 7082 8908 11135 14164 17705 22270 35410 44540 60197 70820 120394 240788 300985 463871 601970 927742 1203940 1855484 2319355 4638710 7885807 9277420 15771614 31543228 39429035 78858070 157716140