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12464672 = 2511172083
BaseRepresentation
bin101111100011…
…001000100000
3212110021022112
4233203020200
511142332142
61123054452
7210643103
oct57431040
925407275
1012464672
117043990
124211428
13277565c
14192673a
151163382
hexbe3220

12464672 has 48 divisors (see below), whose sum is σ = 28359072. Its totient is φ = 5329920.

The previous prime is 12464663. The next prime is 12464707. The reversal of 12464672 is 27646421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4943 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (590814).

Almost surely, 212464672 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 12464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14179536).

12464672 is an abundant number, since it is smaller than the sum of its proper divisors (15894400).

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

12464672 is a wasteful number, since it uses less digits than its factorization.

12464672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2113 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 12464672 is about 3530.5342371941. The cubic root of 12464672 is about 231.8605979823.

The spelling of 12464672 in words is "twelve million, four hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2083 2992 4166 5984 8332 16664 22913 33328 35411 45826 66656 70822 91652 141644 183304 283288 366608 389521 566576 733216 779042 1133152 1558084 3116168 6232336 12464672