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130802336 = 2571394201
BaseRepresentation
bin1111100101111…
…10001010100000
3100010010110001222
413302332022200
5231441133321
620551314212
73145541630
oct762761240
9303113058
10130802336
116791a805
123797b968
1321139a42
141352c6c0
15b73b3ab
hex7cbe2a0

130802336 has 48 divisors (see below), whose sum is σ = 296493120. Its totient is φ = 55641600.

The previous prime is 130802323. The next prime is 130802381. The reversal of 130802336 is 633208031.

It is a super-2 number, since 2×1308023362 = 34218502206113792, which contains 22 as substring.

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, 29036 + ... + 33236.

It is an arithmetic number, because the mean of its divisors is an integer number (6176940).

Almost surely, 2130802336 is an apocalyptic number.

130802336 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 130802336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148246560).

130802336 is an abundant number, since it is smaller than the sum of its proper divisors (165690784).

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

130802336 is a wasteful number, since it uses less digits than its factorization.

130802336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 130802336 is about 11436.8848905635. The cubic root of 130802336 is about 507.6197373327.

The spelling of 130802336 in words is "one hundred thirty million, eight hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 556 973 1112 1946 2224 3892 4201 4448 7784 8402 15568 16804 29407 31136 33608 58814 67216 117628 134432 235256 470512 583939 941024 1167878 2335756 4087573 4671512 8175146 9343024 16350292 18686048 32700584 65401168 130802336