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130262496 = 25371323137
BaseRepresentation
bin1111100001110…
…10010111100000
3100002010000112220
413300322113200
5231321344441
620531551040
73141133020
oct760722740
9302100486
10130262496
1167591161
123775b480
1320cab100
141342ba80
15b681466
hex7c3a5e0

130262496 has 288 divisors, whose sum is σ = 448616448. Its totient is φ = 32348160.

The previous prime is 130262471. The next prime is 130262497. The reversal of 130262496 is 694262031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130262497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520590 + ... + 3520626.

It is an arithmetic number, because the mean of its divisors is an integer number (1557696).

Almost surely, 2130262496 is an apocalyptic number.

130262496 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 130262496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224308224).

130262496 is an abundant number, since it is smaller than the sum of its proper divisors (318353952).

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

130262496 is a wasteful number, since it uses less digits than its factorization.

130262496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 130262496 is about 11413.2596570831. The cubic root of 130262496 is about 506.9204345884.

The spelling of 130262496 in words is "one hundred thirty million, two hundred sixty-two thousand, four hundred ninety-six".