Search a number
-
+
157430430 = 2325712347
BaseRepresentation
bin10010110001000…
…11001010011110
3101222020021221200
421120203022132
5310300233210
623342140330
73621064563
oct1130431236
9358207850
10157430430
11809578a3
12448816a6
1326801001
1416ca086a
15dc4b0c0
hex962329e

157430430 has 72 divisors (see below), whose sum is σ = 416361816. Its totient is φ = 41270880.

The previous prime is 157430419. The next prime is 157430437. The reversal of 157430430 is 34034751.

157430430 = 4812 + 4822 + ... + 8352.

It is a junction number, because it is equal to n+sod(n) for n = 157430394 and 157430403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157430437) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 453517 + ... + 453863.

It is an arithmetic number, because the mean of its divisors is an integer number (5782803).

Almost surely, 2157430430 is an apocalyptic number.

157430430 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 157430430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208180908).

157430430 is an abundant number, since it is smaller than the sum of its proper divisors (258931386).

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

157430430 is a wasteful number, since it uses less digits than its factorization.

157430430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 157430430 is about 12547.1283567197. The cubic root of 157430430 is about 539.9616227870.

The spelling of 157430430 in words is "one hundred fifty-seven million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 347 355 426 639 694 710 1041 1065 1278 1735 2082 2130 3123 3195 3470 5041 5205 6246 6390 10082 10410 15123 15615 24637 25205 30246 31230 45369 49274 50410 73911 75615 90738 123185 147822 151230 221733 226845 246370 369555 443466 453690 739110 1108665 1749227 2217330 3498454 5247681 8746135 10495362 15743043 17492270 26238405 31486086 52476810 78715215 157430430