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1357668096 = 2834143117
BaseRepresentation
bin101000011101100…
…0101111100000000
310111121200200111120
41100323011330000
510240030334341
6342415312240
745433663011
oct12073057400
93447620446
101357668096
11637406154
1231a81b680
13188379705
14cc453008
157e2d2066
hex50ec5f00

1357668096 has 72 divisors (see below), whose sum is σ = 3701594064. Its totient is φ = 441507840.

The previous prime is 1357668077. The next prime is 1357668131. The reversal of 1357668096 is 6908667531.

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 7 ways as a sum of consecutive naturals, for example, 9930 + ... + 53046.

Almost surely, 21357668096 is an apocalyptic number.

1357668096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850797032).

1357668096 is an abundant number, since it is smaller than the sum of its proper divisors (2343925968).

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

1357668096 is an equidigital number, since it uses as much as digits as its factorization.

1357668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43177 (or 43163 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 1357668096 is about 36846.5479522845. The cubic root of 1357668096 is about 1107.2980561803.

The spelling of 1357668096 in words is "one billion, three hundred fifty-seven million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 43117 86234 129351 172468 258702 344936 517404 689872 1034808 1379744 1767797 2069616 2759488 3535594 4139232 5303391 5518976 7071188 8278464 10606782 11037952 14142376 16556928 21213564 28284752 33113856 42427128 56569504 84854256 113139008 169708512 226278016 339417024 452556032 678834048 1357668096