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97023168 = 26321115313
BaseRepresentation
bin1011100100001…
…11010011000000
320202120021202200
411302013103000
5144314220133
613343313200
72255453244
oct562072300
9222507680
1097023168
114a848a40
12285ab800
1317140878
14cc58424
1587b7913
hex5c874c0

97023168 has 84 divisors (see below), whose sum is σ = 303400968. Its totient is φ = 29399040.

The previous prime is 97023163. The next prime is 97023187. The reversal of 97023168 is 86132079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97023161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1321 + ... + 13992.

Almost surely, 297023168 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 97023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151700484).

97023168 is an abundant number, since it is smaller than the sum of its proper divisors (206377800).

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

97023168 is a wasteful number, since it uses less digits than its factorization.

97023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97023168 is about 9850.0339085711. The cubic root of 97023168 is about 459.5066670751.

It can be divided in two parts, 970231 and 68, that added together give a cube (970299 = 993).

The spelling of 97023168 in words is "ninety-seven million, twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 15313 30626 45939 61252 91878 122504 137817 168443 183756 245008 275634 336886 367512 490016 505329 551268 673772 735024 980032 1010658 1102536 1347544 1470048 1515987 2021316 2205072 2695088 2940096 3031974 4042632 4410144 5390176 6063948 8085264 8820288 10780352 12127896 16170528 24255792 32341056 48511584 97023168