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830272157 = 11132835381
BaseRepresentation
bin110001011111001…
…111001010011101
32010212022012021122
4301133033022131
53200022202112
6214215340325
726401124351
oct6137171235
92125265248
10830272157
11396737840
121b20816a5
13103021a00
147c3a9461
154cd56872
hex317cf29d

830272157 has 24 divisors (see below), whose sum is σ = 992785248. Its totient is φ = 688209600.

The previous prime is 830272139. The next prime is 830272199. The reversal of 830272157 is 751272038.

It is not a de Polignac number, because 830272157 - 28 = 830271901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830272057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151607 + ... + 156987.

It is an arithmetic number, because the mean of its divisors is an integer number (41366052).

Almost surely, 2830272157 is an apocalyptic number.

It is an amenable number.

830272157 is a deficient number, since it is larger than the sum of its proper divisors (162513091).

830272157 is a wasteful number, since it uses less digits than its factorization.

830272157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 830272157 is about 28814.4435483318. The cubic root of 830272157 is about 939.8823441847.

It can be divided in two parts, 83027 and 2157, that added together give a cube (85184 = 443).

The spelling of 830272157 in words is "eight hundred thirty million, two hundred seventy-two thousand, one hundred fifty-seven".

Divisors: 1 11 13 83 143 169 913 1079 1859 5381 11869 14027 59191 69953 154297 446623 769483 909389 4912853 5806099 10003279 63867089 75479287 830272157