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4564980 = 2232573623
BaseRepresentation
bin10001011010011111110100
322120220222100
4101122133310
52132034410
6241502100
753541660
oct21323764
98526870
104564980
112638812
121641930
13c3aa94
1486b8a0
156028c0
hex45a7f4

4564980 has 72 divisors (see below), whose sum is σ = 15829632. Its totient is φ = 1043136.

The previous prime is 4564961. The next prime is 4564991. The reversal of 4564980 is 894654.

4564980 is a `hidden beast` number, since 4 + 5 + 649 + 8 + 0 = 666.

4564980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 552 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (219856).

Almost surely, 24564980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4564980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914816).

4564980 is an abundant number, since it is smaller than the sum of its proper divisors (11264652).

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

4564980 is a wasteful number, since it uses less digits than its factorization.

4564980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4564980 is about 2136.5813815533. The cubic root of 4564980 is about 165.8872316800.

It can be divided in two parts, 45 and 64980, that multiplied together give a square (2924100 = 17102).

The spelling of 4564980 in words is "four million, five hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3623 7246 10869 14492 18115 21738 25361 32607 36230 43476 50722 54345 65214 72460 76083 101444 108690 126805 130428 152166 163035 217380 228249 253610 304332 326070 380415 456498 507220 652140 760830 912996 1141245 1521660 2282490 4564980