Search a number
-
+
157339350 = 232527199251
BaseRepresentation
bin10010110000011…
…00111011010110
3101222001200000100
421120030323112
5310234324400
623340154530
73620235210
oct1130147326
9358050010
10157339350
11808a5423
1244838a46
132679b70c
1416c795b0
15dc2e100
hex960ced6

157339350 has 144 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 35640000.

The previous prime is 157339349. The next prime is 157339363. The reversal of 157339350 is 53933751.

It is a happy number.

157339350 is a `hidden beast` number, since 1 + 573 + 39 + 3 + 50 = 666.

157339350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 626725 + ... + 626975.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2157339350 is an apocalyptic number.

157339350 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 157339350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

157339350 is an abundant number, since it is smaller than the sum of its proper divisors (330129450).

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

157339350 is a wasteful number, since it uses less digits than its factorization.

157339350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The square root of 157339350 is about 12543.4983158607. The cubic root of 157339350 is about 539.8574726728.

The spelling of 157339350 in words is "one hundred fifty-seven million, three hundred thirty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 199 210 225 251 315 350 398 450 502 525 597 630 753 995 1050 1194 1255 1393 1506 1575 1757 1791 1990 2259 2510 2786 2985 3150 3514 3582 3765 4179 4518 4975 5271 5970 6275 6965 7530 8358 8785 8955 9950 10542 11295 12537 12550 13930 14925 15813 17570 17910 18825 20895 22590 25074 26355 29850 31626 34825 37650 41790 43925 44775 49949 52710 56475 62685 69650 79065 87850 89550 99898 104475 112950 125370 131775 149847 158130 208950 249745 263550 299694 313425 349643 395325 449541 499490 626850 699286 749235 790650 899082 1048929 1248725 1498470 1748215 2097858 2247705 2497450 3146787 3496430 3746175 4495410 5244645 6293574 7492350 8741075 10489290 11238525 15733935 17482150 22477050 26223225 31467870 52446450 78669675 157339350