Search a number
-
+
23912070 = 23571319461
BaseRepresentation
bin101101100110…
…1111010000110
31122222212012020
41123031322012
522110141240
62212304010
7410151330
oct133157206
948885166
1023912070
1112552546
128012006
134c52c70
143266450
1521750d0
hex16cde86

23912070 has 128 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 4769280.

The previous prime is 23912059. The next prime is 23912071. The reversal of 23912070 is 7021932.

23912070 is a nontrivial binomial coefficient, being equal to C(6916, 2).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23912070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23912071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51640 + ... + 52100.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 223912070 is an apocalyptic number.

23912070 is the 6915-th triangular number and also the 3458-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23912070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255680).

23912070 is an abundant number, since it is smaller than the sum of its proper divisors (50599290).

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

23912070 is a wasteful number, since it uses less digits than its factorization.

23912070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 23912070 is about 4889.9969325144. The cubic root of 23912070 is about 288.0972135171.

The spelling of 23912070 in words is "twenty-three million, nine hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 461 494 546 570 665 741 798 910 922 1235 1330 1365 1383 1482 1729 1995 2305 2470 2730 2766 3227 3458 3705 3990 4610 5187 5993 6454 6915 7410 8645 8759 9681 10374 11986 13830 16135 17290 17518 17979 19362 25935 26277 29965 32270 35958 41951 43795 48405 51870 52554 59930 61313 83902 87590 89895 96810 113867 122626 125853 131385 179790 183939 209755 227734 251706 262770 306565 341601 367878 419510 569335 613130 629265 683202 797069 919695 1138670 1258530 1594138 1708005 1839390 2391207 3416010 3985345 4782414 7970690 11956035 23912070