Search a number
-
+
23691136 = 277137193
BaseRepresentation
bin101101001011…
…1111110000000
31122120122010111
41122113332000
522031104021
62203441104
7405241240
oct132277600
948518114
1023691136
1112411557
127b26194
134ba6531
143209b20
15212e8e1
hex1697f80

23691136 has 64 divisors (see below), whose sum is σ = 54614880. Its totient is φ = 10027008.

The previous prime is 23691113. The next prime is 23691163. The reversal of 23691136 is 63119632.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×236911362 = 1122539849940992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23691098 and 23691107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122656 + ... + 122848.

Almost surely, 223691136 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 23691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307440).

23691136 is an abundant number, since it is smaller than the sum of its proper divisors (30923744).

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

23691136 is a wasteful number, since it uses less digits than its factorization.

23691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 23691136 is about 4867.3541066990. The cubic root of 23691136 is about 287.2071816393.

The spelling of 23691136 in words is "twenty-three million, six hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 193 224 274 386 448 548 772 896 959 1096 1351 1544 1918 2192 2702 3088 3836 4384 5404 6176 7672 8768 10808 12352 15344 17536 21616 24704 26441 30688 43232 52882 61376 86464 105764 122752 172928 185087 211528 370174 423056 740348 846112 1480696 1692224 2961392 3384448 5922784 11845568 23691136