Search a number
-
+
12942336 = 210311383
BaseRepresentation
bin110001010111…
…110000000000
3220100112112210
4301113300000
511303123321
61141222120
7215002521
oct61276000
926315483
1012942336
11733a850
124401940
1328b1bb4
141a0c848
151209b76
hexc57c00

12942336 has 88 divisors (see below), whose sum is σ = 37730304. Its totient is φ = 3911680.

The previous prime is 12942331. The next prime is 12942337. The reversal of 12942336 is 63324921.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×129423362 = 335008122273792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12942331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33601 + ... + 33983.

Almost surely, 212942336 is an apocalyptic number.

12942336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865152).

12942336 is an abundant number, since it is smaller than the sum of its proper divisors (24787968).

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

12942336 is a wasteful number, since it uses less digits than its factorization.

12942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 12942336 is about 3597.5458301459. The cubic root of 12942336 is about 234.7852935579.

The spelling of 12942336 in words is "twelve million, nine hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 383 384 512 528 704 766 768 1024 1056 1149 1408 1532 1536 2112 2298 2816 3064 3072 4213 4224 4596 5632 6128 8426 8448 9192 11264 12256 12639 16852 16896 18384 24512 25278 33704 33792 36768 49024 50556 67408 73536 98048 101112 134816 147072 196096 202224 269632 294144 392192 404448 539264 588288 808896 1078528 1176576 1617792 2157056 3235584 4314112 6471168 12942336