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1392135120 = 24335644507
BaseRepresentation
bin101001011111010…
…0100101111010000
310121000112210101000
41102332210233100
510322341310440
6350050142000
746332644655
oct12276445720
93530483330
101392135120
116549077a2
1232a281900
131925569bc
14d2c65c2c
158233e730
hex52fa4bd0

1392135120 has 80 divisors (see below), whose sum is σ = 4795139520. Its totient is φ = 371235456.

The previous prime is 1392135119. The next prime is 1392135131. The reversal of 1392135120 is 215312931.

1392135120 is a `hidden beast` number, since 139 + 2 + 13 + 512 + 0 = 666.

1392135120 is digitally balanced in base 4, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 320094 + ... + 324413.

It is an arithmetic number, because the mean of its divisors is an integer number (59939244).

Almost surely, 21392135120 is an apocalyptic number.

1392135120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1392135120 is an abundant number, since it is smaller than the sum of its proper divisors (3403004400).

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

1392135120 is a wasteful number, since it uses less digits than its factorization.

1392135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644529 (or 644517 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1392135120 is about 37311.3269664857. The cubic root of 1392135120 is about 1116.5901607445.

The spelling of 1392135120 in words is "one billion, three hundred ninety-two million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 644507 1289014 1933521 2578028 3222535 3867042 5156056 5800563 6445070 7734084 9667605 10312112 11601126 12890140 15468168 17401689 19335210 23202252 25780280 29002815 30936336 34803378 38670420 46404504 51560560 58005630 69606756 77340840 87008445 92809008 116011260 139213512 154681680 174016890 232022520 278427024 348033780 464045040 696067560 1392135120