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99997632 = 2633721181
BaseRepresentation
bin1011111010111…
…01011111000000
320222011101222000
411331131133000
5201044411012
613531144000
72322652200
oct575353700
9228141860
1099997632
115149a779
12295a5000
13179426c7
14d3d0400
158ba3ddc
hex5f5d7c0

99997632 has 168 divisors, whose sum is σ = 342259920. Its totient is φ = 28546560.

The previous prime is 99997619. The next prime is 99997649. The reversal of 99997632 is 23679999.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84082 + ... + 85262.

Almost surely, 299997632 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 99997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171129960).

99997632 is an abundant number, since it is smaller than the sum of its proper divisors (242262288).

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

99997632 is a wasteful number, since it uses less digits than its factorization.

99997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1193 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 99997632 is about 9999.8815992991. The cubic root of 99997632 is about 464.1552195716.

The spelling of 99997632 in words is "ninety-nine million, nine hundred ninety-seven thousand, six hundred thirty-two".