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1012876704 = 25337223751
BaseRepresentation
bin111100010111110…
…100010110100000
32121120220110122000
4330113310112200
54033244023304
6244301244000
734046211210
oct7427642640
92546813560
101012876704
1147a819294
12243263600
13131ac8238
1498740240
155ddc6939
hex3c5f45a0

1012876704 has 192 divisors, whose sum is σ = 3395911680. Its totient is φ = 287712000.

The previous prime is 1012876703. The next prime is 1012876717. The reversal of 1012876704 is 4076782101.

1012876704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1012876703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348329 + ... + 1349079.

It is an arithmetic number, because the mean of its divisors is an integer number (17687040).

Almost surely, 21012876704 is an apocalyptic number.

1012876704 is a gapful number since it is divisible by the number (14) 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 1012876704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697955840).

1012876704 is an abundant number, since it is smaller than the sum of its proper divisors (2383034976).

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

1012876704 is a wasteful number, since it uses less digits than its factorization.

1012876704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1012876704 is about 31825.7239352069. The cubic root of 1012876704 is about 1004.2739420625.

The spelling of 1012876704 in words is "one billion, twelve million, eight hundred seventy-six thousand, seven hundred four".