Search a number
-
+
157136620 = 22543892053
BaseRepresentation
bin10010101110110…
…11011011101100
3101221200100220211
421113123123230
5310211332440
623331552204
73615432154
oct1127333354
9357610824
10157136620
1180777083
124475b664
132672a364
1416c25764
15dbddeea
hex95db6ec

157136620 has 48 divisors (see below), whose sum is σ = 341621280. Its totient is φ = 60673536.

The previous prime is 157136563. The next prime is 157136677. The reversal of 157136620 is 26631751.

157136620 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157136563) and next prime (157136677).

157136620 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75514 + ... + 77566.

It is an arithmetic number, because the mean of its divisors is an integer number (7117110).

Almost surely, 2157136620 is an apocalyptic number.

157136620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157136620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170810640).

157136620 is an abundant number, since it is smaller than the sum of its proper divisors (184484660).

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

157136620 is a wasteful number, since it uses less digits than its factorization.

157136620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 157136620 is about 12535.4146321532. The cubic root of 157136620 is about 539.6255062353.

The spelling of 157136620 in words is "one hundred fifty-seven million, one hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 89 172 178 215 356 430 445 860 890 1780 2053 3827 4106 7654 8212 10265 15308 19135 20530 38270 41060 76540 88279 176558 182717 353116 365434 441395 730868 882790 913585 1765580 1827170 3654340 7856831 15713662 31427324 39284155 78568310 157136620