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130455200 = 2552179911
BaseRepresentation
bin1111100011010…
…01011010100000
3100002110210220002
413301221122200
5231344031300
620540035132
73142564601
oct761513240
9302423802
10130455200
1167702a17
1237832aa8
1321047a35
141347bda8
15b6bd5d5
hex7c696a0

130455200 has 72 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 51833600.

The previous prime is 130455191. The next prime is 130455209. The reversal of 130455200 is 2554031.

It is an interprime number because it is at equal distance from previous prime (130455191) and next prime (130455209).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130455209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142745 + ... + 143655.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2130455200 is an apocalyptic number.

130455200 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 130455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

130455200 is an abundant number, since it is smaller than the sum of its proper divisors (190149280).

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

130455200 is a wasteful number, since it uses less digits than its factorization.

130455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 130455200 is about 11421.6986477494. The cubic root of 130455200 is about 507.1702825686.

The spelling of 130455200 in words is "one hundred thirty million, four hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 358 400 716 800 895 911 1432 1790 1822 2864 3580 3644 4475 4555 5728 7160 7288 8950 9110 14320 14576 17900 18220 22775 28640 29152 35800 36440 45550 71600 72880 91100 143200 145760 163069 182200 326138 364400 652276 728800 815345 1304552 1630690 2609104 3261380 4076725 5218208 6522760 8153450 13045520 16306900 26091040 32613800 65227600 130455200