Search a number
-
+
12387408 = 2431129809
BaseRepresentation
bin101111010000…
…010001010000
3212022100022220
4233100101100
511132344113
61121301040
7210201615
oct57202120
925270286
1012387408
116aa0930
124194780
132749437
14190650c
15114a523
hexbd0450

12387408 has 80 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 3619840.

The previous prime is 12387377. The next prime is 12387433. The reversal of 12387408 is 80478321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14908 + ... + 15716.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 212387408 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 12387408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

12387408 is an abundant number, since it is smaller than the sum of its proper divisors (23770992).

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

12387408 is a wasteful number, since it uses less digits than its factorization.

12387408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 12387408 is about 3519.5749743399. The cubic root of 12387408 is about 231.3805313223.

It can be divided in two parts, 1238 and 7408, that added together give a triangular number (8646 = T131).

The spelling of 12387408 in words is "twelve million, three hundred eighty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 809 957 1276 1392 1618 1914 2427 2552 3236 3828 4854 5104 6472 7656 8899 9708 12944 15312 17798 19416 23461 26697 35596 38832 46922 53394 70383 71192 93844 106788 140766 142384 187688 213576 258071 281532 375376 427152 516142 563064 774213 1032284 1126128 1548426 2064568 3096852 4129136 6193704 12387408