Search a number
-
+
23464980 = 223257111693
BaseRepresentation
bin101100110000…
…0110000010100
31122011010220100
41121200300110
522001334410
62154534100
7403310010
oct131406024
948133810
1023464980
1112277650
127a37330
134b27606
14318b540
1520d78c0
hex1660c14

23464980 has 144 divisors (see below), whose sum is σ = 88792704. Its totient is φ = 4872960.

The previous prime is 23464957. The next prime is 23465009. The reversal of 23464980 is 8946432.

It is a happy number.

23464980 is a `hidden beast` number, since 2 + 3 + 4 + 649 + 8 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13014 + ... + 14706.

It is an arithmetic number, because the mean of its divisors is an integer number (616616).

Almost surely, 223464980 is an apocalyptic number.

23464980 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 23464980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44396352).

23464980 is an abundant number, since it is smaller than the sum of its proper divisors (65327724).

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

23464980 is a wasteful number, since it uses less digits than its factorization.

23464980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23464980 is about 4844.0664735323. The cubic root of 23464980 is about 286.2903631672.

The spelling of 23464980 in words is "twenty-three million, four hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1693 1980 2310 2772 3386 3465 4620 5079 6772 6930 8465 10158 11851 13860 15237 16930 18623 20316 23702 25395 30474 33860 35553 37246 47404 50790 55869 59255 60948 71106 74492 76185 93115 101580 106659 111738 118510 130361 142212 152370 167607 177765 186230 213318 223476 237020 260722 279345 304740 335214 355530 372460 391083 426636 521444 533295 558690 651805 670428 711060 782166 838035 1066590 1117380 1173249 1303610 1564332 1676070 1955415 2133180 2346498 2607220 3352140 3910830 4692996 5866245 7821660 11732490 23464980