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130891950 = 23952719
BaseRepresentation
bin1111100110101…
…00000010101110
3100010022000000000
413303110002232
5232002020300
620553245130
73146364120
oct763240256
9303260000
10130891950
1167981072
1237a037a6
132116b777
1413553210
15b757c00
hex7cd40ae

130891950 has 240 divisors, whose sum is σ = 439317120. Its totient is φ = 28343520.

The previous prime is 130891939. The next prime is 130891961. The reversal of 130891950 is 59198031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130891939) and next prime (130891961).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6889041 + ... + 6889059.

It is an arithmetic number, because the mean of its divisors is an integer number (1830488).

Almost surely, 2130891950 is an apocalyptic number.

130891950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130891950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219658560).

130891950 is an abundant number, since it is smaller than the sum of its proper divisors (308425170).

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

130891950 is an frugal number, since it uses more digits than its factorization.

130891950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 130891950 is about 11440.8019823787. The cubic root of 130891950 is about 507.7356360033.

It can be divided in two parts, 130891 and 950, that added together give a triangular number (131841 = T513).

The spelling of 130891950 in words is "one hundred thirty million, eight hundred ninety-one thousand, nine hundred fifty".