Search a number
-
+
97660368 = 24321324013
BaseRepresentation
bin1011101001000…
…10110111010000
320210202122211200
411310202313100
5200000112433
613405111200
72264046051
oct564426720
9223678750
1097660368
1150143753
1228858500
1317304900
14cd82728
158891613
hex5d22dd0

97660368 has 90 divisors (see below), whose sum is σ = 296028486. Its totient is φ = 30041856.

The previous prime is 97660351. The next prime is 97660417. The reversal of 97660368 is 86306679.

It can be written as a sum of positive squares in 3 ways, for example, as 3415104 + 94245264 = 1848^2 + 9708^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 22330 + ... + 26342.

Almost surely, 297660368 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 97660368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148014243).

97660368 is an abundant number, since it is smaller than the sum of its proper divisors (198368118).

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

97660368 is a wasteful number, since it uses less digits than its factorization.

97660368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97660368 is about 9882.3260419802. The cubic root of 97660368 is about 460.5104101315.

The spelling of 97660368 in words is "ninety-seven million, six hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4013 4056 6084 8026 8112 12039 12168 16052 24078 24336 32104 36117 48156 52169 64208 72234 96312 104338 144468 156507 192624 208676 288936 313014 417352 469521 577872 626028 678197 834704 939042 1252056 1356394 1878084 2034591 2504112 2712788 3756168 4069182 5425576 6103773 7512336 8138364 10851152 12207546 16276728 24415092 32553456 48830184 97660368