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1364111920 = 24517398563
BaseRepresentation
bin101000101001110…
…1011001000110000
310112001211001202201
41101103223020300
510243203040140
6343205352544
745542521453
oct12123531060
93461731681
101364111920
11640007526
12320a08754
131897c4722
14cd24d49a
157eb5649a
hex514eb230

1364111920 has 40 divisors (see below), whose sum is σ = 3189925296. Its totient is φ = 542485248.

The previous prime is 1364111891. The next prime is 1364111921. The reversal of 1364111920 is 291114631.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1364111921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35442 + ... + 63121.

Almost surely, 21364111920 is an apocalyptic number.

1364111920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364111920 is an abundant number, since it is smaller than the sum of its proper divisors (1825813376).

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

1364111920 is a wasteful number, since it uses less digits than its factorization.

1364111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98749 (or 98743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1364111920 is about 36933.8857961087. The cubic root of 1364111920 is about 1109.0471274892.

The spelling of 1364111920 in words is "one billion, three hundred sixty-four million, one hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 98563 197126 394252 492815 788504 985630 1577008 1971260 3942520 7885040 17051399 34102798 68205596 85256995 136411192 170513990 272822384 341027980 682055960 1364111920