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1338938960 = 24516736737
BaseRepresentation
bin100111111001110…
…1001011001010000
310110022110010221212
41033303221121100
510220232021320
6340510035252
745115536062
oct11763513120
93408403855
101338938960
11627883727
123144a8b28
1318451c898
14c9b79732
157c8329c5
hex4fce9650

1338938960 has 20 divisors (see below), whose sum is σ = 3113033268. Its totient is φ = 535575552.

The previous prime is 1338938941. The next prime is 1338938971. The reversal of 1338938960 is 698398331.

It can be written as a sum of positive squares in 2 ways, for example, as 545502736 + 793436224 = 23356^2 + 28168^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1338938899 and 1338938908.

It is a congruent number.

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, 8368289 + ... + 8368448.

Almost surely, 21338938960 is an apocalyptic number.

1338938960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338938960 is an abundant number, since it is smaller than the sum of its proper divisors (1774094308).

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

1338938960 is a wasteful number, since it uses less digits than its factorization.

1338938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16736750 (or 16736744 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 1338938960 is about 36591.5148634215. The cubic root of 1338938960 is about 1102.1827073563.

The spelling of 1338938960 in words is "one billion, three hundred thirty-eight million, nine hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16736737 33473474 66946948 83683685 133893896 167367370 267787792 334734740 669469480 1338938960