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1012672900 = 225210126729
BaseRepresentation
bin111100010111000…
…010100110000100
32121120112010001201
4330113002212010
54033221013100
6244253032244
734044402061
oct7427024604
92546463051
101012672900
1147a69a158
12243185684
13131a56545
14986c9c68
155dd8636a
hex3c5c2984

1012672900 has 18 divisors (see below), whose sum is σ = 2197500410. Its totient is φ = 405069120.

The previous prime is 1012672889. The next prime is 1012672937. The reversal of 1012672900 is 92762101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 40729924 + 971942976 = 6382^2 + 31176^2 .

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 5 ways as a sum of consecutive naturals, for example, 5063265 + ... + 5063464.

Almost surely, 21012672900 is an apocalyptic number.

1012672900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012672900 is an abundant number, since it is smaller than the sum of its proper divisors (1184827510).

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

1012672900 is a wasteful number, since it uses less digits than its factorization.

1012672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126743 (or 10126736 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1012672900 is about 31822.5218988062. The cubic root of 1012672900 is about 1004.2065798735.

The spelling of 1012672900 in words is "one billion, twelve million, six hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10126729 20253458 40506916 50633645 101267290 202534580 253168225 506336450 1012672900