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99360144 = 24321353077
BaseRepresentation
bin1011110110000…
…01110110010000
320220222000111100
411323001312100
5200414011034
613505344400
72314355502
oct573016620
9226860440
1099360144
11510a4824
1229338100
131777b4b0
14d2a5d72
158aca099
hex5ec1d90

99360144 has 60 divisors (see below), whose sum is σ = 299466076. Its totient is φ = 30571776.

The previous prime is 99360089. The next prime is 99360167. The reversal of 99360144 is 44106399.

99360144 is a `hidden beast` number, since 9 + 9 + 3 + 601 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 92390544 = 2640^2 + 9612^2 .

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 = 99360099 and 99360108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24667 + ... + 28410.

Almost surely, 299360144 is an apocalyptic number.

It is an amenable number.

99360144 is an abundant number, since it is smaller than the sum of its proper divisors (200105932).

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

99360144 is a wasteful number, since it uses less digits than its factorization.

99360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53104 (or 53095 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99360144 is about 9967.9558586503. The cubic root of 99360144 is about 463.1667815136.

The spelling of 99360144 in words is "ninety-nine million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 53077 106154 159231 212308 318462 424616 477693 636924 690001 849232 955386 1273848 1380002 1910772 2070003 2547696 2760004 3821544 4140006 5520008 6210009 7643088 8280012 11040016 12420018 16560024 24840036 33120048 49680072 99360144