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1357120896 = 2734098641
BaseRepresentation
bin101000011100100…
…0000010110000000
310111120122212212220
41100321000112000
510234410332041
6342355451040
745426223455
oct12071002600
93446585786
101357120896
1163707201a
1231a5b6a80
13188217621
14cc34d82c
157e224d66
hex50e40580

1357120896 has 64 divisors (see below), whose sum is σ = 3614084400. Its totient is φ = 451215360.

The previous prime is 1357120873. The next prime is 1357120907. The reversal of 1357120896 is 6980217531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152736 + ... + 161376.

Almost surely, 21357120896 is an apocalyptic number.

1357120896 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 1357120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807042200).

1357120896 is an abundant number, since it is smaller than the sum of its proper divisors (2256963504).

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

1357120896 is an equidigital number, since it uses as much as digits as its factorization.

1357120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1357120896 is about 36839.1218136372. The cubic root of 1357120896 is about 1107.1492729051.

The spelling of 1357120896 in words is "one billion, three hundred fifty-seven million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 409 818 1227 1636 2454 3272 4908 6544 8641 9816 13088 17282 19632 25923 26176 34564 39264 51846 52352 69128 78528 103692 138256 157056 207384 276512 414768 553024 829536 1106048 1659072 3318144 3534169 7068338 10602507 14136676 21205014 28273352 42410028 56546704 84820056 113093408 169640112 226186816 339280224 452373632 678560448 1357120896