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8468130 = 2351167383
BaseRepresentation
bin100000010011…
…011010100010
3120221020002110
4200103122202
54131440010
6501300150
7131656266
oct40233242
916836073
108468130
114864260
122a04656
1319a6538
1411a60a6
15b24120
hex8136a2

8468130 has 64 divisors (see below), whose sum is σ = 22560768. Its totient is φ = 2016960.

The previous prime is 8468123. The next prime is 8468137. The reversal of 8468130 is 318648.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8468123) and next prime (8468137).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21919 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (352512).

Almost surely, 28468130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8468130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384).

8468130 is an abundant number, since it is smaller than the sum of its proper divisors (14092638).

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

8468130 is a wasteful number, since it uses less digits than its factorization.

8468130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8468130 is about 2910.0051546346. The cubic root of 8468130 is about 203.8273722233.

Subtracting from 8468130 its sum of digits (30), we obtain a square (8468100 = 29102).

The spelling of 8468130 in words is "eight million, four hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 383 402 670 737 766 1005 1149 1474 1915 2010 2211 2298 3685 3830 4213 4422 5745 7370 8426 11055 11490 12639 21065 22110 25278 25661 42130 51322 63195 76983 126390 128305 153966 256610 282271 384915 564542 769830 846813 1411355 1693626 2822710 4234065 8468130