Search a number
-
+
157494128 = 24112959523
BaseRepresentation
bin10010110001100…
…10101101110000
3101222100112022212
421120302231300
5310304303003
623343351252
73621451361
oct1130625560
9358315285
10157494128
11809a0740
12448b2528
1326823cbc
1416cb9b68
15dc5edd8
hex9632b70

157494128 has 80 divisors (see below), whose sum is σ = 350870400. Its totient is φ = 67818240.

The previous prime is 157494109. The next prime is 157494143. The reversal of 157494128 is 821494751.

Its product of digits (80640) is a multiple of the sum of its prime factors (630).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300875 + ... + 301397.

It is an arithmetic number, because the mean of its divisors is an integer number (4385880).

Almost surely, 2157494128 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 157494128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175435200).

157494128 is an abundant number, since it is smaller than the sum of its proper divisors (193376272).

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

157494128 is a wasteful number, since it uses less digits than its factorization.

157494128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 157494128 is about 12549.6664497508. Note that the first 3 decimals coincide. The cubic root of 157494128 is about 540.0344376757.

The spelling of 157494128 in words is "one hundred fifty-seven million, four hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 59 88 116 118 176 232 236 319 464 472 523 638 649 944 1046 1276 1298 1711 2092 2552 2596 3422 4184 5104 5192 5753 6844 8368 10384 11506 13688 15167 18821 23012 27376 30334 30857 37642 46024 60668 61714 75284 92048 121336 123428 150568 166837 242672 246856 301136 333674 339427 493712 667348 678854 894853 1334696 1357708 1789706 2669392 2715416 3579412 5430832 7158824 9843383 14317648 19686766 39373532 78747064 157494128