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1357190880 = 25352827481
BaseRepresentation
bin101000011100101…
…0001011011100000
310111120210102212220
41100321101123200
510234420102010
6342401151040
745426634503
oct12071213340
93446712786
101357190880
1163710a661
1231a62b480
13188240436
14cc36b13a
157e23a970
hex50e516e0

1357190880 has 48 divisors (see below), whose sum is σ = 4275152784. Its totient is φ = 361917440.

The previous prime is 1357190827. The next prime is 1357190893. The reversal of 1357190880 is 880917531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 1413261 + ... + 1414220.

It is an arithmetic number, because the mean of its divisors is an integer number (89065683).

Almost surely, 21357190880 is an apocalyptic number.

1357190880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1357190880 is an abundant number, since it is smaller than the sum of its proper divisors (2917961904).

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

1357190880 is a wasteful number, since it uses less digits than its factorization.

1357190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827499 (or 2827491 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 1357190880 is about 36840.0716611681. The cubic root of 1357190880 is about 1107.1683037331.

The spelling of 1357190880 in words is "one billion, three hundred fifty-seven million, one hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2827481 5654962 8482443 11309924 14137405 16964886 22619848 28274810 33929772 42412215 45239696 56549620 67859544 84824430 90479392 113099240 135719088 169648860 226198480 271438176 339297720 452396960 678595440 1357190880