Search a number
-
+
97017116 = 22719434241
BaseRepresentation
bin1011100100001…
…01110100011100
320202112222110112
411302011310130
5144314021431
613343225152
72255426510
oct562056434
9222488415
1097017116
114a844439
12285a81b8
131713aba1
14cc56140
1587b5c2b
hex5c85d1c

97017116 has 48 divisors (see below), whose sum is σ = 209045760. Its totient is φ = 38465280.

The previous prime is 97017103. The next prime is 97017119. The reversal of 97017116 is 61171079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97017119) 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 15 ways as a sum of consecutive naturals, for example, 20756 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (4355120).

Almost surely, 297017116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97017116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104522880).

97017116 is an abundant number, since it is smaller than the sum of its proper divisors (112028644).

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

97017116 is a wasteful number, since it uses less digits than its factorization.

97017116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 32.

The square root of 97017116 is about 9849.7266967160. The cubic root of 97017116 is about 459.4971126830.

The spelling of 97017116 in words is "ninety-seven million, seventeen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 4241 5719 8482 11438 16964 22876 29687 59374 80579 118748 161158 182363 322316 364726 564053 729452 1128106 1276541 2256212 2553082 3464897 5106164 6929794 13859588 24254279 48508558 97017116