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1395557040 = 24355814821
BaseRepresentation
bin101001100101110…
…1000001010110000
310121020222122100210
41103023220022300
510324230311130
6350251344120
746404016263
oct12313501260
93536878323
101395557040
11656834729
1232b452040
131931843c7
14d34b6cda
15827b85b0
hex532e82b0

1395557040 has 40 divisors (see below), whose sum is σ = 4326227568. Its totient is φ = 372148480.

The previous prime is 1395557027. The next prime is 1395557063. The reversal of 1395557040 is 407555931.

1395557040 is digitally balanced in base 6, 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 (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1395557040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2907171 + ... + 2907650.

Almost surely, 21395557040 is an apocalyptic number.

1395557040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395557040 is an abundant number, since it is smaller than the sum of its proper divisors (2930670528).

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

1395557040 is a wasteful number, since it uses less digits than its factorization.

1395557040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814837 (or 5814831 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 1395557040 is about 37357.1551379384. The cubic root of 1395557040 is about 1117.5042855763.

The spelling of 1395557040 in words is "one billion, three hundred ninety-five million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5814821 11629642 17444463 23259284 29074105 34888926 46518568 58148210 69777852 87222315 93037136 116296420 139555704 174444630 232592840 279111408 348889260 465185680 697778520 1395557040