Search a number
-
+
12373088 = 257213607
BaseRepresentation
bin101111001100…
…110001100000
3212021121200112
4233030301200
511131414323
61121110452
7210112100
oct57146140
925247615
1012373088
116a910a2
124188428
132742a70
141901200
151146178
hexbccc60

12373088 has 72 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 4886784.

The previous prime is 12373069. The next prime is 12373117. The reversal of 12373088 is 88037321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20081 + ... + 20687.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 212373088 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 12373088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

12373088 is an abundant number, since it is smaller than the sum of its proper divisors (18193504).

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

12373088 is a wasteful number, since it uses less digits than its factorization.

12373088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 12373088 is about 3517.5400495232. The cubic root of 12373088 is about 231.2913373388.

The spelling of 12373088 in words is "twelve million, three hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 607 637 728 784 1214 1274 1456 1568 2428 2548 2912 4249 4856 5096 7891 8498 9712 10192 15782 16996 19424 20384 29743 31564 33992 55237 59486 63128 67984 110474 118972 126256 135968 220948 237944 252512 386659 441896 475888 773318 883792 951776 1546636 1767584 3093272 6186544 12373088