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1073134656 = 2637111741
BaseRepresentation
bin111111111101101…
…011110001000000
32202210021220000000
4333331223301000
54144210302111
6254253000000
735410331316
oct7775536100
92683256000
101073134656
11500835a50
1225b483000
13141435729
14a27480b6
156432ac56
hex3ff6bc40

1073134656 has 448 divisors, whose sum is σ = 3779032320. Its totient is φ = 298598400.

The previous prime is 1073134613. The next prime is 1073134663. The reversal of 1073134656 is 6564313701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1073134656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26173996 + ... + 26174036.

It is an arithmetic number, because the mean of its divisors is an integer number (8435340).

Almost surely, 21073134656 is an apocalyptic number.

1073134656 is a gapful number since it is divisible by the number (16) 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 1073134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889516160).

1073134656 is an abundant number, since it is smaller than the sum of its proper divisors (2705897664).

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

1073134656 is an equidigital number, since it uses as much as digits as its factorization.

1073134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1073134656 is about 32758.7340414736. The cubic root of 1073134656 is about 1023.8069500984.

The spelling of 1073134656 in words is "one billion, seventy-three million, one hundred thirty-four thousand, six hundred fifty-six".