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1395085068 = 2232132980951
BaseRepresentation
bin101001100100111…
…0100111100001100
310121020002122221100
41103021310330030
510324120210233
6350233303100
746400012256
oct12311647414
93536078840
101395085068
11656542073
1232b264a90
1319304a630
14d33d2cd6
1582723813
hex53274f0c

1395085068 has 36 divisors (see below), whose sum is σ = 3797732848. Its totient is φ = 429256800.

The previous prime is 1395085061. The next prime is 1395085091. The reversal of 1395085068 is 8605805931.

1395085068 is a `hidden beast` number, since 1 + 39 + 508 + 50 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1395085061) 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, 1490008 + ... + 1490943.

Almost surely, 21395085068 is an apocalyptic number.

1395085068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1395085068 is an abundant number, since it is smaller than the sum of its proper divisors (2402647780).

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

1395085068 is a wasteful number, since it uses less digits than its factorization.

1395085068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980974 (or 2980969 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1395085068 is about 37350.8375809700. The cubic root of 1395085068 is about 1117.3782928276.

The spelling of 1395085068 in words is "one billion, three hundred ninety-five million, eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2980951 5961902 8942853 11923804 17885706 26828559 35771412 38752363 53657118 77504726 107314236 116257089 155009452 232514178 348771267 465028356 697542534 1395085068