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130496240 = 24571991171
BaseRepresentation
bin1111100011100…
…11011011110000
3100002112220012002
413301303123300
5231401334430
620540553132
73143125340
oct761633360
9302486162
10130496240
1167730836
12378527a8
1321060614
141348cd20
15b6ca845
hex7c736f0

130496240 has 80 divisors (see below), whose sum is σ = 348787200. Its totient is φ = 44478720.

The previous prime is 130496239. The next prime is 130496243. The reversal of 130496240 is 42694031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130496243) 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, 110855 + ... + 112025.

It is an arithmetic number, because the mean of its divisors is an integer number (4359840).

Almost surely, 2130496240 is an apocalyptic number.

130496240 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 130496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174393600).

130496240 is an abundant number, since it is smaller than the sum of its proper divisors (218290960).

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

130496240 is a wasteful number, since it uses less digits than its factorization.

130496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 130496240 is about 11423.4950868812. The cubic root of 130496240 is about 507.2234606867.

The spelling of 130496240 in words is "one hundred thirty million, four hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 995 1171 1393 1592 1990 2342 2786 3184 3980 4684 5572 5855 6965 7960 8197 9368 11144 11710 13930 15920 16394 18736 22288 23420 27860 32788 40985 46840 55720 65576 81970 93680 111440 131152 163940 233029 327880 466058 655760 932116 1165145 1631203 1864232 2330290 3262406 3728464 4660580 6524812 8156015 9321160 13049624 16312030 18642320 26099248 32624060 65248120 130496240