[go: up one dir, main page]

Search a number
-
+
4672920 = 233575563
BaseRepresentation
bin10001110100110110011000
322210102001010
4101310312120
52144013140
6244053520
754501450
oct21646630
98712033
104672920
11270191a
1216942a0
13c77c55
14898d60
15624880
hex474d98

4672920 has 64 divisors (see below), whose sum is σ = 16024320. Its totient is φ = 1067904.

The previous prime is 4672919. The next prime is 4672937. The reversal of 4672920 is 292764.

It is a happy number.

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

It is a d-powerful number, because it can be written as 48 + 68 + 77 + 29 + 94 + 221 + 0 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1942 + ... + 3621.

It is an arithmetic number, because the mean of its divisors is an integer number (250380).

Almost surely, 24672920 is an apocalyptic number.

4672920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4672920 is an abundant number, since it is smaller than the sum of its proper divisors (11351400).

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

4672920 is a wasteful number, since it uses less digits than its factorization.

4672920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4672920 is about 2161.6937803491. The cubic root of 4672920 is about 167.1845402859.

The spelling of 4672920 in words is "four million, six hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 5563 11126 16689 22252 27815 33378 38941 44504 55630 66756 77882 83445 111260 116823 133512 155764 166890 194705 222520 233646 311528 333780 389410 467292 584115 667560 778820 934584 1168230 1557640 2336460 4672920