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12338480 = 2457112003
BaseRepresentation
bin101111000100…
…010100110000
3212012212012202
4233010110300
511124312410
61120242332
7206606150
oct57042460
925185182
1012338480
116a680a0
1241703a8
13273009b
1418d2760
15113aca5
hexbc4530

12338480 has 80 divisors (see below), whose sum is σ = 35783424. Its totient is φ = 3843840.

The previous prime is 12338479. The next prime is 12338483. The reversal of 12338480 is 8483321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5159 + ... + 7161.

Almost surely, 212338480 is an apocalyptic number.

12338480 is a gapful number since it is divisible by the number (10) 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 12338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891712).

12338480 is an abundant number, since it is smaller than the sum of its proper divisors (23444944).

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

12338480 is a wasteful number, since it uses less digits than its factorization.

12338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 12338480 is about 3512.6172578293. The cubic root of 12338480 is about 231.0754924014.

The spelling of 12338480 in words is "twelve million, three hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2003 3080 4006 6160 8012 10015 14021 16024 20030 22033 28042 32048 40060 44066 56084 70105 80120 88132 110165 112168 140210 154231 160240 176264 220330 224336 280420 308462 352528 440660 560840 616924 771155 881320 1121680 1233848 1542310 1762640 2467696 3084620 6169240 12338480