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130052420 = 22573281317
BaseRepresentation
bin1111100000001…
…11000101000100
3100001201100101022
413300013011010
5231243134140
620523250312
73136266401
oct760070504
9301640338
10130052420
1167458343
1237679998
1320c365c4
14133b52a8
15b63e0b5
hex7c07144

130052420 has 48 divisors (see below), whose sum is σ = 278713008. Its totient is φ = 50964480.

The previous prime is 130052393. The next prime is 130052423. The reversal of 130052420 is 24250031.

It can be written as a sum of positive squares in 8 ways, for example, as 6220036 + 123832384 = 2494^2 + 11128^2 .

It is not an unprimeable number, because it can be changed into a prime (130052423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410102 + ... + 410418.

It is an arithmetic number, because the mean of its divisors is an integer number (5806521).

Almost surely, 2130052420 is an apocalyptic number.

130052420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130052420 is an abundant number, since it is smaller than the sum of its proper divisors (148660588).

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

130052420 is a wasteful number, since it uses less digits than its factorization.

130052420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 130052420 is about 11404.0527883731. The cubic root of 130052420 is about 506.6477822678.

It can be divided in two parts, 13005 and 2420, that multiplied together give a square (31472100 = 56102).

The spelling of 130052420 in words is "one hundred thirty million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 281 292 317 365 562 634 730 1124 1268 1405 1460 1585 2810 3170 5620 6340 20513 23141 41026 46282 82052 89077 92564 102565 115705 178154 205130 231410 356308 410260 445385 462820 890770 1781540 6502621 13005242 26010484 32513105 65026210 130052420