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1353061764 = 223238039883
BaseRepresentation
bin101000010100110…
…0001010110000100
310111022000122210200
41100221201112010
510232340434024
6342132450500
745346556325
oct12051412604
93438018720
101353061764
1163484a36a
12319179a30
13187425b82
14cb9b444c
157dbc22c9
hex50a61584

1353061764 has 36 divisors (see below), whose sum is σ = 3421484976. Its totient is φ = 450856368.

The previous prime is 1353061747. The next prime is 1353061781. The reversal of 1353061764 is 4671603531.

1353061764 is a `hidden beast` number, since 1 + 3 + 5 + 30 + 617 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1353061747) and next prime (1353061781).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13530617642 = 3661552274397583392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131967 + ... + 141849.

Almost surely, 21353061764 is an apocalyptic number.

It is an amenable number.

1353061764 is an abundant number, since it is smaller than the sum of its proper divisors (2068423212).

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

1353061764 is a wasteful number, since it uses less digits than its factorization.

1353061764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13696 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1353061764 is about 36783.9878751611. The cubic root of 1353061764 is about 1106.0443472545.

The spelling of 1353061764 in words is "one billion, three hundred fifty-three million, sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3803 7606 9883 11409 15212 19766 22818 29649 34227 39532 45636 59298 68454 88947 118596 136908 177894 355788 37585049 75170098 112755147 150340196 225510294 338265441 451020588 676530882 1353061764