Search a number
-
+
99630144 = 2632172969
BaseRepresentation
bin1011111000000…
…11110001000000
320221110201212100
411330003301000
5201001131034
613515230400
72316561615
oct574036100
9227421770
1099630144
1151269669
1229448400
1317844363
14d33650c
158b30099
hex5f03c40

99630144 has 42 divisors (see below), whose sum is σ = 285573470. Its totient is φ = 33209856.

The previous prime is 99630143. The next prime is 99630197. The reversal of 99630144 is 44103699.

99630144 is a `hidden beast` number, since 9 + 9 + 630 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 43560000 = 7488^2 + 6600^2 .

It is a super-3 number, since 3×996301443 (a number of 25 digits) contains 333 as substring.

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 = 99630099 and 99630108.

It is not an unprimeable number, because it can be changed into a prime (99630143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85909 + ... + 87060.

Almost surely, 299630144 is an apocalyptic number.

It is an amenable number.

99630144 is an abundant number, since it is smaller than the sum of its proper divisors (185943326).

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

99630144 is a wasteful number, since it uses less digits than its factorization.

99630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172987 (or 172974 counting only the distinct ones).

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

The square root of 99630144 is about 9981.4900691229. The cubic root of 99630144 is about 463.5859365938.

The spelling of 99630144 in words is "ninety-nine million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 172969 345938 518907 691876 1037814 1383752 1556721 2075628 2767504 3113442 4151256 5535008 6226884 8302512 11070016 12453768 16605024 24907536 33210048 49815072 99630144