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130242996 = 223213397701
BaseRepresentation
bin1111100001101…
…01100110110100
3100002002000210200
413300311212310
5231320233441
620531320500
73141022122
oct760654664
9302060720
10130242996
1167578544
1237750130
1320ca2280
1413424912
15b67a7b6
hex7c359b4

130242996 has 72 divisors (see below), whose sum is σ = 355950504. Its totient is φ = 39916800.

The previous prime is 130242979. The next prime is 130243007. The reversal of 130242996 is 699242031.

It can be written as a sum of positive squares in 4 ways, for example, as 28515600 + 101727396 = 5340^2 + 10086^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130242996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185446 + ... + 186146.

It is an arithmetic number, because the mean of its divisors is an integer number (4943757).

Almost surely, 2130242996 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 130242996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177975252).

130242996 is an abundant number, since it is smaller than the sum of its proper divisors (225707508).

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

130242996 is a wasteful number, since it uses less digits than its factorization.

130242996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130242996 is about 11412.4053555769. The cubic root of 130242996 is about 506.8951383800.

The spelling of 130242996 in words is "one hundred thirty million, two hundred forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 397 468 701 794 1191 1402 1588 2103 2382 2804 3573 4206 4764 5161 6309 7146 8412 9113 10322 12618 14292 15483 18226 20644 25236 27339 30966 36452 46449 54678 61932 82017 92898 109356 164034 185796 278297 328068 556594 834891 1113188 1669782 2504673 3339564 3617861 5009346 7235722 10018692 10853583 14471444 21707166 32560749 43414332 65121498 130242996