Search a number
-
+
157831416 = 23383197
BaseRepresentation
bin10010110100001…
…01000011111000
3101222222200000000
421122011003320
5310401101131
623354513000
73624354621
oct1132050370
9358880000
10157831416
1181101096
1244a35760
1326911692
1416d66a48
15dcc9ce6
hex96850f8

157831416 has 144 divisors (see below), whose sum is σ = 462920640. Its totient is φ = 50388480.

The previous prime is 157831397. The next prime is 157831439. The reversal of 157831416 is 614138751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1627080 + ... + 1627176.

Almost surely, 2157831416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157831416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231460320).

157831416 is an abundant number, since it is smaller than the sum of its proper divisors (305089224).

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

157831416 is an frugal number, since it uses more digits than its factorization.

157831416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 157831416 is about 12563.0973887812. The cubic root of 157831416 is about 540.4196737561.

The spelling of 157831416 in words is "one hundred fifty-seven million, eight hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 97 108 124 162 186 194 216 243 248 279 291 324 372 388 486 558 582 648 729 744 776 837 873 972 1116 1164 1458 1674 1746 1944 2187 2232 2328 2511 2619 2916 3007 3348 3492 4374 5022 5238 5832 6014 6561 6696 6984 7533 7857 8748 9021 10044 10476 12028 13122 15066 15714 17496 18042 20088 20952 22599 23571 24056 26244 27063 30132 31428 36084 45198 47142 52488 54126 60264 62856 67797 70713 72168 81189 90396 94284 108252 135594 141426 162378 180792 188568 203391 212139 216504 243567 271188 282852 324756 406782 424278 487134 542376 565704 636417 649512 730701 813564 848556 974268 1272834 1461402 1627128 1697112 1948536 2192103 2545668 2922804 4384206 5091336 5845608 6576309 8768412 13152618 17536824 19728927 26305236 39457854 52610472 78915708 157831416