Search a number
-
+
97168632 = 23311312383
BaseRepresentation
bin1011100101010…
…10110011111000
320202211200022020
411302222303320
5144333344012
613350354440
72256630321
oct562526370
9222750266
1097168632
114a938260
122865ba20
1317191b42
14cc95448
1587e5a8c
hex5caacf8

97168632 has 96 divisors (see below), whose sum is σ = 274544640. Its totient is φ = 28420800.

The previous prime is 97168579. The next prime is 97168637. The reversal of 97168632 is 23686179.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97168637) 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, 253513 + ... + 253895.

It is an arithmetic number, because the mean of its divisors is an integer number (2859840).

Almost surely, 297168632 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 97168632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137272320).

97168632 is an abundant number, since it is smaller than the sum of its proper divisors (177376008).

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

97168632 is a wasteful number, since it uses less digits than its factorization.

97168632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 430 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 97168632 is about 9857.4150769865. The cubic root of 97168632 is about 459.7361940441.

The spelling of 97168632 in words is "ninety-seven million, one hundred sixty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 383 682 744 766 961 1023 1149 1364 1532 1922 2046 2298 2728 2883 3064 3844 4092 4213 4596 5766 7688 8184 8426 9192 10571 11532 11873 12639 16852 21142 23064 23746 25278 31713 33704 35619 42284 47492 50556 63426 71238 84568 94984 101112 126852 130603 142476 253704 261206 284952 368063 391809 522412 736126 783618 1044824 1104189 1472252 1567236 2208378 2944504 3134472 4048693 4416756 8097386 8833512 12146079 16194772 24292158 32389544 48584316 97168632