Search a number
-
+
157820301 = 32137127997
BaseRepresentation
bin10010110100000…
…10010110001101
3101222222002202100
421122002112031
5310400222201
623354345313
73624310332
oct1132022615
9358862670
10157820301
11810a3801
1244a2b239
13269095c2
1416d62989
15dcc6886
hex968258d

157820301 has 12 divisors (see below), whose sum is σ = 229628412. Its totient is φ = 104444736.

The previous prime is 157820297. The next prime is 157820317. The reversal of 157820301 is 103028751.

It can be written as a sum of positive squares in 2 ways, for example, as 106626276 + 51194025 = 10326^2 + 7155^2 .

It is not a de Polignac number, because 157820301 - 22 = 157820297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157820381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62766 + ... + 65231.

It is an arithmetic number, because the mean of its divisors is an integer number (19135701).

Almost surely, 2157820301 is an apocalyptic number.

It is an amenable number.

157820301 is a deficient number, since it is larger than the sum of its proper divisors (71808111).

157820301 is a wasteful number, since it uses less digits than its factorization.

157820301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128140 (or 128137 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157820301 is about 12562.6550139690. The cubic root of 157820301 is about 540.4069874232.

The spelling of 157820301 in words is "one hundred fifty-seven million, eight hundred twenty thousand, three hundred one".

Divisors: 1 3 9 137 411 1233 127997 383991 1151973 17535589 52606767 157820301