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157001361 = 3117960223
BaseRepresentation
bin10010101101110…
…10011010010001
3101221102111101020
421112322122101
5310143020421
623325030053
73614326626
oct1126723221
9357374336
10157001361
11806944a0
12446b5329
13266b091a
1416bcc34d
15dbb3dc6
hex95ba691

157001361 has 16 divisors (see below), whose sum is σ = 231260160. Its totient is φ = 93946320.

The previous prime is 157001359. The next prime is 157001363. The reversal of 157001361 is 163100751.

157001361 is digitally balanced in base 2, because in such base 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 (157001359) and next prime (157001363).

It is not a de Polignac number, because 157001361 - 21 = 157001359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157001363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27505 + ... + 32718.

It is an arithmetic number, because the mean of its divisors is an integer number (14453760).

Almost surely, 2157001361 is an apocalyptic number.

157001361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157001361 is a deficient number, since it is larger than the sum of its proper divisors (74258799).

157001361 is a wasteful number, since it uses less digits than its factorization.

157001361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60316.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 157001361 is about 12530.0183958365. The cubic root of 157001361 is about 539.4706300545.

The spelling of 157001361 in words is "one hundred fifty-seven million, one thousand, three hundred sixty-one".

Divisors: 1 3 11 33 79 237 869 2607 60223 180669 662453 1987359 4757617 14272851 52333787 157001361