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1365213696 = 29372111797
BaseRepresentation
bin101000101011111…
…1000001000000000
310112010220001010020
41101113320020000
510243443314241
6343245133440
745555060600
oct12127701000
93463801106
101365213696
1164069a290
1232125a280
13189abc072
14cd458c00
157ecc2b66
hex515f8200

1365213696 has 480 divisors, whose sum is σ = 4937308992. Its totient is φ = 330301440.

The previous prime is 1365213673. The next prime is 1365213701. The reversal of 1365213696 is 6963125631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14074320 + ... + 14074416.

Almost surely, 21365213696 is an apocalyptic number.

1365213696 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 1365213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468654496).

1365213696 is an abundant number, since it is smaller than the sum of its proper divisors (3572095296).

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

1365213696 is a wasteful number, since it uses less digits than its factorization.

1365213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 1365213696 is about 36948.7983025159. The cubic root of 1365213696 is about 1109.3456349310.

The spelling of 1365213696 in words is "one billion, three hundred sixty-five million, two hundred thirteen thousand, six hundred ninety-six".