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130420224 = 2932113183
BaseRepresentation
bin1111100011000…
…00111000000000
3100002102000220200
413301200320000
5231341421344
620535205200
73142360614
oct761407000
9302360820
10130420224
1167689710
1237816800
1321034b3c
141346d344
15b6b3069
hex7c60e00

130420224 has 240 divisors, whose sum is σ = 428972544. Its totient is φ = 37785600.

The previous prime is 130420223. The next prime is 130420229. The reversal of 130420224 is 422024031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130420197 and 130420206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130420223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571287 + ... + 1571369.

Almost surely, 2130420224 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 130420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

130420224 is an abundant number, since it is smaller than the sum of its proper divisors (298552320).

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

130420224 is a wasteful number, since it uses less digits than its factorization.

130420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130420224 is about 11420.1674243419. The cubic root of 130420224 is about 507.1249531545.

Adding to 130420224 its reverse (422024031), we get a palindrome (552444255).

It can be divided in two parts, 1304 and 20224, that added together give a triangular number (21528 = T207).

The spelling of 130420224 in words is "one hundred thirty million, four hundred twenty thousand, two hundred twenty-four".