Search a number
-
+
23078692 = 22713194771
BaseRepresentation
bin101100000001…
…0011100100100
31121102112000101
41120002130210
521402004232
62142353444
7400110550
oct130023444
947375011
1023078692
11120333aa
12788b884
134a20840
1430ca860
15205d1e7
hex1602724

23078692 has 96 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 8346240.

The previous prime is 23078687. The next prime is 23078717. The reversal of 23078692 is 29687032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325017 + ... + 325087.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 223078692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23078692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

23078692 is an abundant number, since it is smaller than the sum of its proper divisors (31111388).

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

23078692 is a wasteful number, since it uses less digits than its factorization.

23078692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 23078692 is about 4804.0287259757. The cubic root of 23078692 is about 284.7106615221.

The spelling of 23078692 in words is "twenty-three million, seventy-eight thousand, six hundred ninety-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 47 52 71 76 91 94 133 142 182 188 247 266 284 329 364 494 497 532 611 658 893 923 988 994 1222 1316 1349 1729 1786 1846 1988 2444 2698 3337 3458 3572 3692 4277 5396 6251 6461 6674 6916 8554 9443 11609 12502 12922 13348 17108 17537 18886 23218 23359 25004 25844 35074 37772 43381 46436 46718 63403 70148 81263 86762 93436 122759 126806 162526 173524 245518 253612 303667 325052 443821 491036 607334 824239 887642 1214668 1648478 1775284 3296956 5769673 11539346 23078692