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157785150 = 23522574093
BaseRepresentation
bin10010110011110…
…01110000111110
3101222220022112110
421121321300332
5310343111100
623353514450
73624103005
oct1131716076
9358808473
10157785150
118107a356
1244a12a26
13268c65c3
1416d53c3c
15dcbb250
hex9679c3e

157785150 has 48 divisors (see below), whose sum is σ = 392925744. Its totient is φ = 41902080.

The previous prime is 157785149. The next prime is 157785209. The reversal of 157785150 is 51587751.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157785099 and 157785108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36504 + ... + 40596.

It is an arithmetic number, because the mean of its divisors is an integer number (8185953).

Almost surely, 2157785150 is an apocalyptic number.

157785150 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 157785150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196462872).

157785150 is an abundant number, since it is smaller than the sum of its proper divisors (235140594).

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

157785150 is a wasteful number, since it uses less digits than its factorization.

157785150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 39.

The square root of 157785150 is about 12561.2559085467. The cubic root of 157785150 is about 540.3668631883.

The spelling of 157785150 in words is "one hundred fifty-seven million, seven hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 257 514 771 1285 1542 2570 3855 4093 6425 7710 8186 12279 12850 19275 20465 24558 38550 40930 61395 102325 122790 204650 306975 613950 1051901 2103802 3155703 5259505 6311406 10519010 15778515 26297525 31557030 52595050 78892575 157785150