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99920016 = 243274172
BaseRepresentation
bin1011111010010…
…10100010010000
320222000110111100
411331022202100
5201034420031
613525344400
72322210000
oct575124220
9228013440
1099920016
1151447429
1229568100
1317916291
14d3b0000
hex5f4a890

99920016 has 225 divisors, whose sum is σ = 346542521. Its totient is φ = 26869248.

The previous prime is 99919997. The next prime is 99920021. The reversal of 99920016 is 61002999.

Multipling 99920016 by its sum of digits (36), we get a square (3597120576 = 599762).

99920016 divided by its sum of digits (36) gives a square (2775556 = 16662).

The square root of 99920016 is 9996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 22127616 = 8820^2 + 4704^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5877640 + ... + 5877656.

Almost surely, 299920016 is an apocalyptic number.

99920016 is the 9996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99920016

99920016 is an abundant number, since it is smaller than the sum of its proper divisors (246622505).

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

99920016 is a wasteful number, since it uses less digits than its factorization.

99920016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The cubic root of 99920016 is about 464.0350994059.

The spelling of 99920016 in words is "ninety-nine million, nine hundred twenty thousand, sixteen".