Search a number
-
+
99163680 = 25357112683
BaseRepresentation
bin1011110100100…
…01111000100000
320220121000222220
411322101320200
5200341214210
613501231040
72312606640
oct572217040
9226530886
1099163680
1150a80160
1229262480
131770cc45
14d254520
158a8bc70
hex5e91e20

99163680 has 192 divisors, whose sum is σ = 389587968. Its totient is φ = 20597760.

The previous prime is 99163667. The next prime is 99163681. The reversal of 99163680 is 8636199.

It is a super-2 number, since 2×991636802 = 19666870862284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (99163681) 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, 35619 + ... + 38301.

It is an arithmetic number, because the mean of its divisors is an integer number (2029104).

Almost surely, 299163680 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 99163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194793984).

99163680 is an abundant number, since it is smaller than the sum of its proper divisors (290424288).

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

99163680 is a wasteful number, since it uses less digits than its factorization.

99163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 99163680 is about 9958.0962035923. The cubic root of 99163680 is about 462.8613081255.

The spelling of 99163680 in words is "ninety-nine million, one hundred sixty-three thousand, six hundred eighty".