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98696640 = 2635719773
BaseRepresentation
bin1011110000111…
…11110111000000
320212201022100010
411320133313000
5200231243030
613443224520
72305623210
oct570376700
9225638303
1098696640
1150791279
1229078140
13175a84a3
14d172240
1589e86b0
hex5e1fdc0

98696640 has 224 divisors, whose sum is σ = 377464320. Its totient is φ = 21344256.

The previous prime is 98696623. The next prime is 98696641. The reversal of 98696640 is 4669689.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98696640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98696641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127294 + ... + 128066.

Almost surely, 298696640 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 98696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732160).

98696640 is an abundant number, since it is smaller than the sum of its proper divisors (278767680).

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

98696640 is a wasteful number, since it uses less digits than its factorization.

98696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 98696640 is about 9934.6182614130. The cubic root of 98696640 is about 462.1335046418.

The spelling of 98696640 in words is "ninety-eight million, six hundred ninety-six thousand, six hundred forty".