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12348972 = 22323773127
BaseRepresentation
bin101111000110…
…111000101100
3212020101121100
4233012320230
511130131342
61120403100
7206651556
oct57067054
925211540
1012348972
116a74a69
124176490
132734aac
1418d64d6
15113de4c
hexbc6e2c

12348972 has 72 divisors (see below), whose sum is σ = 32754176. Its totient is φ = 3919104.

The previous prime is 12348961. The next prime is 12348991. The reversal of 12348972 is 27984321.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 97173 + ... + 97299.

Almost surely, 212348972 is an apocalyptic number.

12348972 is a gapful number since it is divisible by the number (12) 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 12348972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377088).

12348972 is an abundant number, since it is smaller than the sum of its proper divisors (20405204).

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

12348972 is a wasteful number, since it uses less digits than its factorization.

12348972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 242 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12348972 is about 3514.1104137463. The cubic root of 12348972 is about 231.1409720278.

The spelling of 12348972 in words is "twelve million, three hundred forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 127 146 148 219 222 254 292 333 381 438 444 508 657 666 762 876 1143 1314 1332 1524 2286 2628 2701 4572 4699 5402 8103 9271 9398 10804 14097 16206 18542 18796 24309 27813 28194 32412 37084 42291 48618 55626 56388 83439 84582 97236 111252 166878 169164 333756 343027 686054 1029081 1372108 2058162 3087243 4116324 6174486 12348972