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130540732 = 22723613323
BaseRepresentation
bin1111100011111…
…10010010111100
3100002122011012221
413301332102330
5231404300412
620541535124
73143402140
oct761762274
9302564187
10130540732
1167761203
12378744a4
132107794a
14134a1220
15b6d8b07
hex7c7e4bc

130540732 has 48 divisors (see below), whose sum is σ = 276982272. Its totient is φ = 52620480.

The previous prime is 130540691. The next prime is 130540741. The reversal of 130540732 is 237045031.

130540732 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1305407322 = 34081765422191648, which contains 22 as substring.

130540732 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 130540697 and 130540706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37623 + ... + 40945.

It is an arithmetic number, because the mean of its divisors is an integer number (5770464).

Almost surely, 2130540732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130540732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138491136).

130540732 is an abundant number, since it is smaller than the sum of its proper divisors (146441540).

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

130540732 is a wasteful number, since it uses less digits than its factorization.

130540732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 130540732 is about 11425.4423109130. The cubic root of 130540732 is about 507.2810991851.

Adding to 130540732 its reverse (237045031), we get a palindrome (367585763).

The spelling of 130540732 in words is "one hundred thirty million, five hundred forty thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 61 92 122 161 244 322 427 644 854 1403 1708 2806 3323 5612 6646 9821 13292 19642 23261 39284 46522 76429 93044 152858 202703 305716 405406 535003 810812 1070006 1418921 2140012 2837842 4662169 5675684 9324338 18648676 32635183 65270366 130540732