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130277376 = 213331931
BaseRepresentation
bin1111100001111…
…10000000000000
3100002010202222000
413300332000000
5231322334001
620532144000
73141224265
oct760760000
9302122860
10130277376
11675a1359
1237768000
1320cb4b08
141343326c
15b685a86
hex7c3e000

130277376 has 224 divisors, whose sum is σ = 419404800. Its totient is φ = 39813120.

The previous prime is 130277363. The next prime is 130277419. The reversal of 130277376 is 673772031.

130277376 is a `hidden beast` number, since 13 + 0 + 277 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130277376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202481 + ... + 4202511.

Almost surely, 2130277376 is an apocalyptic number.

130277376 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 130277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209702400).

130277376 is an abundant number, since it is smaller than the sum of its proper divisors (289127424).

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

130277376 is an equidigital number, since it uses as much as digits as its factorization.

130277376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 130277376 is about 11413.9115118350. The cubic root of 130277376 is about 506.9397358432.

The spelling of 130277376 in words is "one hundred thirty million, two hundred seventy-seven thousand, three hundred seventy-six".