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1357503840 = 253357211253
BaseRepresentation
bin101000011101001…
…1101110101100000
310111121101100012000
41100322131311200
510240010110330
6342412004000
745432410100
oct12072356540
93447340160
101357503840
11637303800
1231a760600
1318831ca14
14cc40d200
157e29d560
hex50e9dd60

1357503840 has 864 divisors, whose sum is σ = 6189734880. Its totient is φ = 276756480.

The previous prime is 1357503793. The next prime is 1357503863. The reversal of 1357503840 is 483057531.

1357503840 is a `hidden beast` number, since 1 + 3 + 575 + 0 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×13575038402 = 3685633351229491200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1357503795 and 1357503804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25613254 + ... + 25613306.

It is an arithmetic number, because the mean of its divisors is an integer number (7164045).

Almost surely, 21357503840 is an apocalyptic number.

1357503840 is a gapful number since it is divisible by the number (10) 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 1357503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094867440).

1357503840 is an abundant number, since it is smaller than the sum of its proper divisors (4832231040).

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

1357503840 is a wasteful number, since it uses less digits than its factorization.

1357503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1357503840 is about 36844.3189650725. The cubic root of 1357503840 is about 1107.2533992951.

The spelling of 1357503840 in words is "one billion, three hundred fifty-seven million, five hundred three thousand, eight hundred forty".