Search a number
-
+
23282840 = 235731697
BaseRepresentation
bin101100011010…
…0010010011000
31121210220001102
41120310102120
521430022330
62151010532
7401621000
oct130642230
947726042
1023282840
1112162819
127969a48
134a92739
143141000
15209d945
hex1634498

23282840 has 64 divisors (see below), whose sum is σ = 61128000. Its totient is φ = 7977984.

The previous prime is 23282827. The next prime is 23282849. The reversal of 23282840 is 4828232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23282849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12872 + ... + 14568.

It is an arithmetic number, because the mean of its divisors is an integer number (955125).

Almost surely, 223282840 is an apocalyptic number.

23282840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23282840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564000).

23282840 is an abundant number, since it is smaller than the sum of its proper divisors (37845160).

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

23282840 is a wasteful number, since it uses less digits than its factorization.

23282840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 23282840 is about 4825.2295282194. The cubic root of 23282840 is about 285.5476900223.

The spelling of 23282840 in words is "twenty-three million, two hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1697 1715 1960 2744 3394 3430 6788 6860 8485 11879 13576 13720 16970 23758 33940 47516 59395 67880 83153 95032 118790 166306 237580 332612 415765 475160 582071 665224 831530 1164142 1663060 2328284 2910355 3326120 4656568 5820710 11641420 23282840