Search a number
-
+
97733060 = 22553137673
BaseRepresentation
bin1011101001101…
…00100111000100
320210220100112222
411310310213010
5200004424220
613410431512
72264501015
oct564644704
9223810488
1097733060
1150193327
1228892598
131732ba19
14cda100c
1588a7e25
hex5d349c4

97733060 has 48 divisors (see below), whose sum is σ = 210951216. Its totient is φ = 38019072.

The previous prime is 97733047. The next prime is 97733071. The reversal of 97733060 is 6033779.

It can be written as a sum of positive squares in 8 ways, for example, as 64 + 97732996 = 8^2 + 9886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97733060.

It is an unprimeable number.

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, 144884 + ... + 145556.

It is an arithmetic number, because the mean of its divisors is an integer number (4394817).

Almost surely, 297733060 is an apocalyptic number.

It is an amenable number.

97733060 is an abundant number, since it is smaller than the sum of its proper divisors (113218156).

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

97733060 is a wasteful number, since it uses less digits than its factorization.

97733060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 35.

The square root of 97733060 is about 9886.0032369001. The cubic root of 97733060 is about 460.6246397527.

The spelling of 97733060 in words is "ninety-seven million, seven hundred thirty-three thousand, sixty".

Divisors: 1 2 4 5 10 20 53 106 137 212 265 274 530 548 673 685 1060 1346 1370 2692 2740 3365 6730 7261 13460 14522 29044 35669 36305 71338 72610 92201 142676 145220 178345 184402 356690 368804 461005 713380 922010 1844020 4886653 9773306 19546612 24433265 48866530 97733060