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1395793920 = 2133537307
BaseRepresentation
bin101001100110010…
…0010000000000000
310121021102200022010
41103030202000000
510324310401140
6350300412520
746406024013
oct12314420000
93537380263
101395793920
116569866a4
1232b547140
13193238181
14d353937a
1582813880
hex53322000

1395793920 has 224 divisors, whose sum is σ = 4601919168. Its totient is φ = 360972288.

The previous prime is 1395793913. The next prime is 1395793943. The reversal of 1395793920 is 293975931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1395793920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4546407 + ... + 4546713.

It is an arithmetic number, because the mean of its divisors is an integer number (20544282).

Almost surely, 21395793920 is an apocalyptic number.

1395793920 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 1395793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300959584).

1395793920 is an abundant number, since it is smaller than the sum of its proper divisors (3206125248).

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

1395793920 is an equidigital number, since it uses as much as digits as its factorization.

1395793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 1395793920 is about 37360.3254803809. The cubic root of 1395793920 is about 1117.5675098974.

The spelling of 1395793920 in words is "one billion, three hundred ninety-five million, seven hundred ninety-three thousand, nine hundred twenty".