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12380472 = 2333134409
BaseRepresentation
bin101111001110…
…100100111000
3212021222211000
4233032210320
511132133342
61121205000
7210142446
oct57164470
925258730
1012380472
116a966a5
124190760
132746230
141903b96
15114844c
hexbce938

12380472 has 64 divisors (see below), whose sum is σ = 37044000. Its totient is φ = 3808512.

The previous prime is 12380453. The next prime is 12380491. The reversal of 12380472 is 27408321.

It is an interprime number because it is at equal distance from previous prime (12380453) and next prime (12380491).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 604 + ... + 5012.

Almost surely, 212380472 is an apocalyptic number.

12380472 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 12380472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522000).

12380472 is an abundant number, since it is smaller than the sum of its proper divisors (24663528).

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

12380472 is a wasteful number, since it uses less digits than its factorization.

12380472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12380472 is about 3518.5894901224. The cubic root of 12380472 is about 231.3373381326.

Adding to 12380472 its reverse (27408321), we get a palindrome (39788793).

The spelling of 12380472 in words is "twelve million, three hundred eighty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4409 8818 13227 17636 26454 35272 39681 52908 57317 79362 105816 114634 119043 158724 171951 229268 238086 317448 343902 458536 476172 515853 687804 952344 1031706 1375608 1547559 2063412 3095118 4126824 6190236 12380472