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99860040 = 23345721737
BaseRepresentation
bin1011111001110…
…11111001001000
320221220102020000
411330323321020
5201031010130
613524203000
72321540100
oct574737110
9227812200
1099860040
1151406365
1229539460
13178c4ba7
14d396200
158b78260
hex5f3be48

99860040 has 480 divisors, whose sum is σ = 424579320. Its totient is φ = 20901888.

The previous prime is 99860027. The next prime is 99860041. The reversal of 99860040 is 4006899.

99860040 is a `hidden beast` number, since 9 + 9 + 8 + 600 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99082116 + 777924 = 9954^2 + 882^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 99859977 and 99860004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99860041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2698902 + ... + 2698938.

Almost surely, 299860040 is an apocalyptic number.

99860040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99860040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212289660).

99860040 is an abundant number, since it is smaller than the sum of its proper divisors (324719280).

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

99860040 is a wasteful number, since it uses less digits than its factorization.

99860040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99860040 is about 9992.9995496848. Note that the first 3 decimals coincide. The cubic root of 99860040 is about 463.9422366659.

The spelling of 99860040 in words is "ninety-nine million, eight hundred sixty thousand, forty".