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928304130 = 2351310123567
BaseRepresentation
bin110111010101001…
…100110000000010
32101200202201212110
4313111030300002
53400121213010
6232040440150
732001312015
oct6725146002
92350681773
10928304130
114370046a6
1221aa79056
1311a4267b0
148b40737c
155676d120
hex3754cc02

928304130 has 64 divisors (see below), whose sum is σ = 2423167488. Its totient is φ = 226233600.

The previous prime is 928304107. The next prime is 928304131. The reversal of 928304130 is 31403829.

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

It is not an unprimeable number, because it can be changed into a prime (928304131) 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 31 ways as a sum of consecutive naturals, for example, 27607 + ... + 51173.

It is an arithmetic number, because the mean of its divisors is an integer number (37861992).

Almost surely, 2928304130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928304130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211583744).

928304130 is an abundant number, since it is smaller than the sum of its proper divisors (1494863358).

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

928304130 is a wasteful number, since it uses less digits than its factorization.

928304130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23691.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 928304130 is about 30468.0837927166. The cubic root of 928304130 is about 975.5063352959.

Adding to 928304130 its reverse (31403829), we get a palindrome (959707959).

The spelling of 928304130 in words is "nine hundred twenty-eight million, three hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 3030 3939 6565 7878 13130 19695 23567 39390 47134 70701 117835 141402 235670 306371 353505 612742 707010 919113 1531855 1838226 2380267 3063710 4595565 4760534 7140801 9191130 11901335 14281602 23802670 30943471 35704005 61886942 71408010 92830413 154717355 185660826 309434710 464152065 928304130