Search a number
-
+
23294880 = 2532572311
BaseRepresentation
bin101100011011…
…1001110100000
31121211111120100
41120313032200
521430414010
62151142400
7402001050
oct130671640
947744510
1023294880
1112170874
127974a00
134a9806b
143145560
1520a22c0
hex16373a0

23294880 has 144 divisors (see below), whose sum is σ = 90889344. Its totient is φ = 5322240.

The previous prime is 23294861. The next prime is 23294891. The reversal of 23294880 is 8849232.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8925 + ... + 11235.

It is an arithmetic number, because the mean of its divisors is an integer number (631176).

Almost surely, 223294880 is an apocalyptic number.

23294880 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 23294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45444672).

23294880 is an abundant number, since it is smaller than the sum of its proper divisors (67594464).

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

23294880 is a wasteful number, since it uses less digits than its factorization.

23294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23294880 is about 4826.4769760147. The cubic root of 23294880 is about 285.5969022567.

The spelling of 23294880 in words is "twenty-three million, two hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2311 2520 3360 4622 5040 6933 9244 10080 11555 13866 16177 18488 20799 23110 27732 32354 34665 36976 41598 46220 48531 55464 64708 69330 73952 80885 83196 92440 97062 103995 110928 129416 138660 145593 161770 166392 184880 194124 207990 221856 242655 258832 277320 291186 323540 332784 369760 388248 415980 485310 517664 554640 582372 647080 665568 727965 776496 831960 970620 1109280 1164744 1294160 1455930 1552992 1663920 1941240 2329488 2588320 2911860 3327840 3882480 4658976 5823720 7764960 11647440 23294880