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1395940320 = 25325969403
BaseRepresentation
bin101001100110100…
…0101101111100000
310121021201010010100
41103031011233200
510324330042240
6350303502400
746410203565
oct12315055740
93537633110
101395940320
11656a76695
1232b5b7a00
131932899b8
14d357686c
1582841e30
hex53345be0

1395940320 has 72 divisors (see below), whose sum is σ = 4763651256. Its totient is φ = 372250368.

The previous prime is 1395940319. The next prime is 1395940327. The reversal of 1395940320 is 230495931.

It is a happy number.

1395940320 is a `hidden beast` number, since 1 + 39 + 594 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395940327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483262 + ... + 486141.

It is an arithmetic number, because the mean of its divisors is an integer number (66161823).

Almost surely, 21395940320 is an apocalyptic number.

1395940320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395940320 is an abundant number, since it is smaller than the sum of its proper divisors (3367710936).

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

1395940320 is a wasteful number, since it uses less digits than its factorization.

1395940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969424 (or 969413 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1395940320 is about 37362.2847267134. The cubic root of 1395940320 is about 1117.6065811292.

The spelling of 1395940320 in words is "one billion, three hundred ninety-five million, nine hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 969403 1938806 2908209 3877612 4847015 5816418 7755224 8724627 9694030 11632836 14541045 15510448 17449254 19388060 23265672 29082090 31020896 34898508 38776120 43623135 46531344 58164180 69797016 77552240 87246270 93062688 116328360 139594032 155104480 174492540 232656720 279188064 348985080 465313440 697970160 1395940320