Search a number
-
+
23076810 = 2325436789
BaseRepresentation
bin101100000000…
…1111111001010
31121102102102200
41120001333022
521401424220
62142341030
7400102221
oct130017712
947372380
1023076810
1112031a49
12788a776
134a1ca23
1430c9cb8
15205c890
hex1601fca

23076810 has 96 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 5854464.

The previous prime is 23076799. The next prime is 23076821. The reversal of 23076810 is 1867032.

It is an interprime number because it is at equal distance from previous prime (23076799) and next prime (23076821).

It is a super-2 number, since 2×230768102 = 1065078319552200, which contains 22 as substring.

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, 259246 + ... + 259334.

It is an arithmetic number, because the mean of its divisors is an integer number (656370).

Almost surely, 223076810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23076810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

23076810 is an abundant number, since it is smaller than the sum of its proper divisors (39934710).

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

23076810 is a wasteful number, since it uses less digits than its factorization.

23076810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 23076810 is about 4803.8328447189. The cubic root of 23076810 is about 284.7029222038.

The spelling of 23076810 in words is "twenty-three million, seventy-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 67 86 89 90 129 134 178 201 215 258 267 335 387 402 430 445 534 603 645 670 774 801 890 1005 1206 1290 1335 1602 1935 2010 2670 2881 3015 3827 3870 4005 5762 5963 6030 7654 8010 8643 11481 11926 14405 17286 17889 19135 22962 25929 28810 29815 34443 35778 38270 43215 51858 53667 57405 59630 68886 86430 89445 107334 114810 129645 172215 178890 256409 259290 268335 344430 512818 536670 769227 1282045 1538454 2307681 2564090 3846135 4615362 7692270 11538405 23076810