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130927456 = 2511431863
BaseRepresentation
bin1111100110111…
…00101101100000
3100010100210201001
413303130231200
5232004134311
620554121344
73146602462
oct763345540
9303323631
10130927456
11679a5810
1237a20254
132118198a
1413562132
15b7634c1
hex7cdcb60

130927456 has 48 divisors (see below), whose sum is σ = 282175488. Its totient is φ = 59305600.

The previous prime is 130927453. The next prime is 130927463. The reversal of 130927456 is 654729031.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130927451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151281 + ... + 152143.

It is an arithmetic number, because the mean of its divisors is an integer number (5878656).

Almost surely, 2130927456 is an apocalyptic number.

130927456 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 130927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141087744).

130927456 is an abundant number, since it is smaller than the sum of its proper divisors (151248032).

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

130927456 is a wasteful number, since it uses less digits than its factorization.

130927456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 130927456 is about 11442.3536040449. The cubic root of 130927456 is about 507.7815416317.

The spelling of 130927456 in words is "one hundred thirty million, nine hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 862 863 1724 1726 3448 3452 4741 6896 6904 9482 9493 13792 13808 18964 18986 27616 37928 37972 75856 75944 151712 151888 303776 371953 743906 1487812 2975624 4091483 5951248 8182966 11902496 16365932 32731864 65463728 130927456