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130434132 = 223175910837
BaseRepresentation
bin1111100011001…
…00010001010100
3100002102201222210
413301210101110
5231342343012
620535353420
73142446303
oct761442124
9302381883
10130434132
1167699104
1237822870
132103b27a
141347443a
15b6b723c
hex7c64454

130434132 has 48 divisors (see below), whose sum is σ = 327741120. Its totient is φ = 40223232.

The previous prime is 130434131. The next prime is 130434133. The reversal of 130434132 is 231434031.

It is an interprime number because it is at equal distance from previous prime (130434131) and next prime (130434133).

It is a junction number, because it is equal to n+sod(n) for n = 130434099 and 130434108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6618 + ... + 17454.

It is an arithmetic number, because the mean of its divisors is an integer number (6827940).

Almost surely, 2130434132 is an apocalyptic number.

130434132 is a gapful number since it is divisible by the number (12) 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 130434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163870560).

130434132 is an abundant number, since it is smaller than the sum of its proper divisors (197306988).

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

130434132 is a wasteful number, since it uses less digits than its factorization.

130434132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130434132 is about 11420.7763308805. The cubic root of 130434132 is about 507.1429790990.

Adding to 130434132 its reverse (231434031), we get a palindrome (361868163).

The spelling of 130434132 in words is "one hundred thirty million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 3009 4012 6018 10837 12036 21674 32511 43348 65022 130044 184229 368458 552687 639383 736916 1105374 1278766 1918149 2210748 2557532 3836298 7672596 10869511 21739022 32608533 43478044 65217066 130434132