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1004016132 = 223273984191
BaseRepresentation
bin111011110110000…
…001001000000100
32120222020022012200
4323312001020010
54024012004012
6243343314500
733610665510
oct7366011004
92528208180
101004016132
114758171a9
122402aba30
131300151b2
14974b5140
155d2263dc
hex3bd81204

1004016132 has 36 divisors (see below), whose sum is σ = 2900491776. Its totient is φ = 286861680.

The previous prime is 1004016109. The next prime is 1004016161. The reversal of 1004016132 is 2316104001.

It is a happy number.

1004016132 is a `hidden beast` number, since 10 + 0 + 40 + 1 + 613 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1991844 + ... + 1992347.

It is an arithmetic number, because the mean of its divisors is an integer number (80569216).

Almost surely, 21004016132 is an apocalyptic number.

1004016132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004016132 is an abundant number, since it is smaller than the sum of its proper divisors (1896475644).

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

1004016132 is a wasteful number, since it uses less digits than its factorization.

1004016132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984208 (or 3984203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1004016132 is about 31686.2135951899. The cubic root of 1004016132 is about 1001.3369225084.

The spelling of 1004016132 in words is "one billion, four million, sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3984191 7968382 11952573 15936764 23905146 27889337 35857719 47810292 55778674 71715438 83668011 111557348 143430876 167336022 251004033 334672044 502008066 1004016132