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130836420 = 22325111321723
BaseRepresentation
bin1111100110001…
…10011111000100
3100010012011211100
413303012133010
5231443231140
620552140100
73146043201
oct763063704
9303164740
10130836420
1167943380
1237997630
132114c400
141353aca8
15b746530
hex7cc67c4

130836420 has 432 divisors, whose sum is σ = 517974912. Its totient is φ = 26357760.

The previous prime is 130836379. The next prime is 130836427. The reversal of 130836420 is 24638031.

It is a happy number.

130836420 is a `hidden beast` number, since 13 + 0 + 8 + 3 + 642 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (130836427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5688529 + ... + 5688551.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 2130836420 is an apocalyptic number.

130836420 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 130836420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456).

130836420 is an abundant number, since it is smaller than the sum of its proper divisors (387138492).

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

130836420 is a wasteful number, since it uses less digits than its factorization.

130836420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130836420 is about 11438.3748845717. The cubic root of 130836420 is about 507.6638247424.

It can be divided in two parts, 13083 and 6420, that added together give a triangular number (19503 = T197).

The spelling of 130836420 in words is "one hundred thirty million, eight hundred thirty-six thousand, four hundred twenty".