Search a number
-
+
97190982 = 23372231153
BaseRepresentation
bin1011100101100…
…00010001000110
320202212210222000
411302300101012
5144340102412
613351050130
72260052430
oct562602106
9222783860
1097190982
114a953029
1228670946
131719c075
14cc9d650
1587ec4dc
hex5cb0446

97190982 has 64 divisors (see below), whose sum is σ = 248156160. Its totient is φ = 27620352.

The previous prime is 97190969. The next prime is 97191011. The reversal of 97190982 is 28909179.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83718 + ... + 84870.

It is an arithmetic number, because the mean of its divisors is an integer number (3877440).

Almost surely, 297190982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97190982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124078080).

97190982 is an abundant number, since it is smaller than the sum of its proper divisors (150965178).

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

97190982 is a wasteful number, since it uses less digits than its factorization.

97190982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 97190982 is about 9858.5486761490. The cubic root of 97190982 is about 459.7714396991.

The spelling of 97190982 in words is "ninety-seven million, one hundred ninety thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 223 378 446 669 1153 1338 1561 2007 2306 3122 3459 4014 4683 6021 6918 8071 9366 10377 12042 14049 16142 20754 24213 28098 31131 42147 48426 62262 72639 84294 145278 217917 257119 435834 514238 771357 1542714 1799833 2314071 3599666 4628142 5399499 6942213 10798998 13884426 16198497 32396994 48595491 97190982