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1354138960 = 24516926737
BaseRepresentation
bin101000010110110…
…1000010101010000
310111101001101102211
41100231220111100
510233124421320
6342211521504
745361663666
oct12055502520
93441041384
101354138960
11635415709
123195b9294
13187712275
14cbbb4c36
157dd3655a
hex50b68550

1354138960 has 20 divisors (see below), whose sum is σ = 3148373268. Its totient is φ = 541655552.

The previous prime is 1354138883. The next prime is 1354138967. The reversal of 1354138960 is 698314531.

It can be written as a sum of positive squares in 2 ways, for example, as 333719824 + 1020419136 = 18268^2 + 31944^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354138967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8463289 + ... + 8463448.

Almost surely, 21354138960 is an apocalyptic number.

1354138960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354138960 is an abundant number, since it is smaller than the sum of its proper divisors (1794234308).

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

1354138960 is a wasteful number, since it uses less digits than its factorization.

1354138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16926750 (or 16926744 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1354138960 is about 36798.6271483054. The cubic root of 1354138960 is about 1106.3377831114.

The spelling of 1354138960 in words is "one billion, three hundred fifty-four million, one hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16926737 33853474 67706948 84633685 135413896 169267370 270827792 338534740 677069480 1354138960