Search a number
-
+
97643280 = 24357219223
BaseRepresentation
bin1011101000111…
…10101100010000
320210201210101210
411310132230100
5144444041110
613404500120
72263645200
oct564365420
9223653353
1097643280
1150131929
122884a640
13172c9bb7
14cd7a400
15888b520
hex5d1eb10

97643280 has 360 divisors, whose sum is σ = 387778752. Its totient is φ = 20224512.

The previous prime is 97643269. The next prime is 97643281. The reversal of 97643280 is 8234679.

It is not an unprimeable number, because it can be changed into a prime (97643281) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4245349 + ... + 4245371.

Almost surely, 297643280 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 97643280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193889376).

97643280 is an abundant number, since it is smaller than the sum of its proper divisors (290135472).

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

97643280 is a wasteful number, since it uses less digits than its factorization.

97643280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 97643280 is about 9881.4614303756. The cubic root of 97643280 is about 460.4835494883.

The spelling of 97643280 in words is "ninety-seven million, six hundred forty-three thousand, two hundred eighty".