Search a number
-
+
23492430 = 2345132397
BaseRepresentation
bin101100110011…
…1011101001110
31122012112120000
41121213131032
522003224210
62155305130
7403453023
oct131473516
948175500
1023492430
1112296235
127a4b1a6
134b36c60
14319754a
1520e0ac0
hex166774e

23492430 has 160 divisors (see below), whose sum is σ = 71717184. Its totient is φ = 5474304.

The previous prime is 23492401. The next prime is 23492431. The reversal of 23492430 is 3429432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23492394 and 23492403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23492431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242142 + ... + 242238.

Almost surely, 223492430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23492430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35858592).

23492430 is an abundant number, since it is smaller than the sum of its proper divisors (48224754).

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

23492430 is a wasteful number, since it uses less digits than its factorization.

23492430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23492430 is about 4846.8990086446. The cubic root of 23492430 is about 286.4019565293.

The spelling of 23492430 in words is "twenty-three million, four hundred ninety-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 81 90 97 115 117 130 135 138 162 194 195 207 230 234 270 291 299 345 351 390 405 414 485 582 585 598 621 690 702 810 873 897 970 1035 1053 1170 1242 1261 1455 1495 1746 1755 1794 1863 2070 2106 2231 2522 2619 2691 2910 2990 3105 3510 3726 3783 4365 4462 4485 5238 5265 5382 6210 6305 6693 7566 7857 8073 8730 8970 9315 10530 11155 11349 12610 13095 13386 13455 15714 16146 18630 18915 20079 22310 22698 24219 26190 26910 29003 33465 34047 37830 39285 40158 40365 48438 56745 58006 60237 66930 68094 78570 80730 87009 100395 102141 113490 120474 121095 145015 170235 174018 180711 200790 204282 242190 261027 290030 301185 340470 361422 435045 510705 522054 602370 783081 870090 903555 1021410 1305135 1566162 1807110 2349243 2610270 3915405 4698486 7830810 11746215 23492430