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130277340 = 223251993637
BaseRepresentation
bin1111100001111…
…01111111011100
3100002010202220200
413300331333130
5231322333330
620532143500
73141224214
oct760757734
9302122820
10130277340
11675a1326
1237767b90
1320cb4aab
1413433244
15b685a60
hex7c3dfdc

130277340 has 72 divisors (see below), whose sum is σ = 397269600. Its totient is φ = 34556544.

The previous prime is 130277327. The next prime is 130277347. The reversal of 130277340 is 43772031.

It is a super-3 number, since 3×1302773403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130277347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34002 + ... + 37638.

Almost surely, 2130277340 is an apocalyptic number.

130277340 is a gapful number since it is divisible by the number (10) 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 130277340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198634800).

130277340 is an abundant number, since it is smaller than the sum of its proper divisors (266992260).

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

130277340 is a wasteful number, since it uses less digits than its factorization.

130277340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 130277340 is about 11413.9099348120. The cubic root of 130277340 is about 506.9396891484.

The spelling of 130277340 in words is "one hundred thirty million, two hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2985 3582 3637 3980 5970 7164 7274 8955 10911 11940 14548 17910 18185 21822 32733 35820 36370 43644 54555 65466 72740 109110 130932 163665 218220 327330 654660 723763 1447526 2171289 2895052 3618815 4342578 6513867 7237630 8685156 10856445 13027734 14475260 21712890 26055468 32569335 43425780 65138670 130277340