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130220420 = 225114331367
BaseRepresentation
bin1111100001100…
…00000110000100
3100002000212211112
413300300012010
5231314023140
620531024152
73140566241
oct760600604
9302025745
10130220420
1167562590
123773b058
1320c94c05
141341a5c8
15b673c65
hex7c30184

130220420 has 48 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 47208960.

The previous prime is 130220413. The next prime is 130220423. The reversal of 130220420 is 24022031.

It is a junction number, because it is equal to n+sod(n) for n = 130220395 and 130220404.

It is not an unprimeable number, because it can be changed into a prime (130220423) 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, 94577 + ... + 95943.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2130220420 is an apocalyptic number.

130220420 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 130220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

130220420 is an abundant number, since it is smaller than the sum of its proper divisors (169010428).

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

130220420 is a wasteful number, since it uses less digits than its factorization.

130220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130220420 is about 11411.4162135994. The cubic root of 130220420 is about 506.8658487028.

Adding to 130220420 its reverse (24022031), we get a palindrome (154242451).

The spelling of 130220420 in words is "one hundred thirty million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 433 866 1367 1732 2165 2734 4330 4763 5468 6835 8660 9526 13670 15037 19052 23815 27340 30074 47630 60148 75185 95260 150370 300740 591911 1183822 2367644 2959555 5919110 6511021 11838220 13022042 26044084 32555105 65110210 130220420