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1013886720 = 28345711127
BaseRepresentation
bin111100011011101…
…010111100000000
32121122210210010000
4330123222330000
54034023333340
6244335040000
734060615650
oct7433527400
92548723100
101013886720
11480349110
12243670000
1313208cb92
1498924360
155e025d30
hex3c6eaf00

1013886720 has 720 divisors, whose sum is σ = 4558675968. Its totient is φ = 209018880.

The previous prime is 1013886703. The next prime is 1013886781. The reversal of 1013886720 is 276883101.

1013886720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983297 + ... + 7983423.

Almost surely, 21013886720 is an apocalyptic number.

1013886720 is a gapful number since it is divisible by the number (10) 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 1013886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279337984).

1013886720 is an abundant number, since it is smaller than the sum of its proper divisors (3544789248).

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

1013886720 is a wasteful number, since it uses less digits than its factorization.

1013886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1013886720 is about 31841.5879001032. The cubic root of 1013886720 is about 1004.6076436791.

The spelling of 1013886720 in words is "one billion, thirteen million, eight hundred eighty-six thousand, seven hundred twenty".