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130546242 = 2343492309
BaseRepresentation
bin1111100011111…
…11101001000010
3100002122102210000
413301333221002
5231404434432
620542020430
73143424201
oct761775102
9302572700
10130546242
1167765362
1237877716
132107a2c8
14134a3238
15b6da57c
hex7c7fa42

130546242 has 40 divisors (see below), whose sum is σ = 293485500. Its totient is φ = 43371936.

The previous prime is 130546231. The next prime is 130546253. The reversal of 130546242 is 242645031.

130546242 is a `hidden beast` number, since 1 + 30 + 5 + 4 + 624 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130546231) and next prime (130546253).

It can be written as a sum of positive squares in 2 ways, for example, as 118788201 + 11758041 = 10899^2 + 3429^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55384 + ... + 57692.

Almost surely, 2130546242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130546242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146742750).

130546242 is an abundant number, since it is smaller than the sum of its proper divisors (162939258).

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

130546242 is a wasteful number, since it uses less digits than its factorization.

130546242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130546242 is about 11425.6834368890. The cubic root of 130546242 is about 507.2882363688.

The spelling of 130546242 in words is "one hundred thirty million, five hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 349 698 1047 2094 2309 3141 4618 6282 6927 9423 13854 18846 20781 28269 41562 56538 62343 124686 187029 374058 805841 1611682 2417523 4835046 7252569 14505138 21757707 43515414 65273121 130546242