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404276130 = 23357121089
BaseRepresentation
bin11000000110001…
…100001110100010
31001011201100121000
4120012030032202
51311443314010
6104041012430
713006201416
oct3006141642
91034640530
10404276130
11198226705
12b3484116
13659aaa5b
143b998d46
152575a7c0
hex1818c3a2

404276130 has 64 divisors (see below), whose sum is σ = 1093305600. Its totient is φ = 106283520.

The previous prime is 404276069. The next prime is 404276137. The reversal of 404276130 is 31672404.

404276130 is a `hidden beast` number, since 4 + 0 + 42 + 7 + 613 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 404276094 and 404276103.

It is not an unprimeable number, because it can be changed into a prime (404276137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8626 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (17082900).

Almost surely, 2404276130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404276130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546652800).

404276130 is an abundant number, since it is smaller than the sum of its proper divisors (689029470).

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

404276130 is a wasteful number, since it uses less digits than its factorization.

404276130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21176 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 404276130 is about 20106.6190594043. The cubic root of 404276130 is about 739.4225651179.

The spelling of 404276130 in words is "four hundred four million, two hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1278 1917 2130 3195 3834 6390 9585 19170 21089 42178 63267 105445 126534 189801 210890 316335 379602 569403 632670 949005 1138806 1497319 1898010 2847015 2994638 4491957 5694030 7486595 8983914 13475871 14973190 22459785 26951742 40427613 44919570 67379355 80855226 134758710 202138065 404276130