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1353622640 = 24516920283
BaseRepresentation
bin101000010101110…
…1010010001110000
310111100002011011212
41100223222101300
510233011411030
6342152455252
745354413456
oct12053522160
93440064155
101353622640
116350a27a7
123193aa528
13187591256
14cbabc9d6
157dc83595
hex50aea470

1353622640 has 20 divisors (see below), whose sum is σ = 3147172824. Its totient is φ = 541449024.

The previous prime is 1353622631. The next prime is 1353622661. The reversal of 1353622640 is 462263531.

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 = 1353622597 and 1353622606.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8460062 + ... + 8460221.

Almost surely, 21353622640 is an apocalyptic number.

1353622640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353622640 is an abundant number, since it is smaller than the sum of its proper divisors (1793550184).

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

1353622640 is a wasteful number, since it uses less digits than its factorization.

1353622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920296 (or 16920290 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 1353622640 is about 36791.6110003354. The cubic root of 1353622640 is about 1106.1971532949.

The spelling of 1353622640 in words is "one billion, three hundred fifty-three million, six hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16920283 33840566 67681132 84601415 135362264 169202830 270724528 338405660 676811320 1353622640