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1314779920 = 24516434749
BaseRepresentation
bin100111001011101…
…1111001100010000
310101121222201222121
41032113133030100
510143040424140
6334244144024
744403305416
oct11627371420
93347881877
101314779920
11615182683
12308398014
1317c5113ac
14c688b2b6
157a65e64a
hex4e5df310

1314779920 has 20 divisors (see below), whose sum is σ = 3056863500. Its totient is φ = 525911936.

The previous prime is 1314779903. The next prime is 1314779951. The reversal of 1314779920 is 299774131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 138015504 + 1176764416 = 11748^2 + 34304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8217295 + ... + 8217454.

It is an arithmetic number, because the mean of its divisors is an integer number (152843175).

Almost surely, 21314779920 is an apocalyptic number.

1314779920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314779920 is an abundant number, since it is smaller than the sum of its proper divisors (1742083580).

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

1314779920 is a wasteful number, since it uses less digits than its factorization.

1314779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16434762 (or 16434756 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 1314779920 is about 36259.8940980252. The cubic root of 1314779920 is about 1095.5133835301.

The spelling of 1314779920 in words is "one billion, three hundred fourteen million, seven hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16434749 32869498 65738996 82173745 131477992 164347490 262955984 328694980 657389960 1314779920