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23015934 = 233894789
BaseRepresentation
bin101011111001…
…1000111111110
31121022022221000
41113303013332
521343002214
62141151130
7366426564
oct127630776
947268830
1023015934
1111aa0237
12785b4a6
1349cb0c6
1430b1a34
152049809
hex15f31fe

23015934 has 32 divisors (see below), whose sum is σ = 51732000. Its totient is φ = 7584192.

The previous prime is 23015929. The next prime is 23015957. The reversal of 23015934 is 43951032.

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 = 23015898 and 23015907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2412 + ... + 7200.

It is an arithmetic number, because the mean of its divisors is an integer number (1616625).

Almost surely, 223015934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23015934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25866000).

23015934 is an abundant number, since it is smaller than the sum of its proper divisors (28716066).

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

23015934 is a wasteful number, since it uses less digits than its factorization.

23015934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 23015934 is about 4797.4924700306. The cubic root of 23015934 is about 284.4523555449.

Adding to 23015934 its reverse (43951032), we get a palindrome (66966966).

The spelling of 23015934 in words is "twenty-three million, fifteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4789 4806 9578 14367 28734 43101 86202 129303 258606 426221 852442 1278663 2557326 3835989 7671978 11507967 23015934