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1393244160 = 211357111931
BaseRepresentation
bin101001100001011…
…0011100000000000
310121002122010200120
41103002303200000
510323132303120
6350130020240
746345244220
oct12302634000
93532563616
101393244160
116554a4a60
1232a717680
13192854739
14d3074080
15824ad140
hex530b3800

1393244160 has 768 divisors, whose sum is σ = 6038323200. Its totient is φ = 265420800.

The previous prime is 1393244131. The next prime is 1393244189. The reversal of 1393244160 is 614423931.

It is an interprime number because it is at equal distance from previous prime (1393244131) and next prime (1393244189).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×13932441602 = 3882258578748211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 44943345 + ... + 44943375.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 21393244160 is an apocalyptic number.

1393244160 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 1393244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019161600).

1393244160 is an abundant number, since it is smaller than the sum of its proper divisors (4645079040).

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

1393244160 is a wasteful number, since it uses less digits than its factorization.

1393244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1393244160 is about 37326.1859824976. The cubic root of 1393244160 is about 1116.8865913708.

The spelling of 1393244160 in words is "one billion, three hundred ninety-three million, two hundred forty-four thousand, one hundred sixty".