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12284040 = 2335102367
BaseRepresentation
bin101110110111…
…000010001000
3212010002112110
4232313002020
511121042130
61115142320
7206261346
oct56670210
925102473
1012284040
116a301aa
1241449a0
132711382
1418ba996
151129ab0
hexbb7088

12284040 has 32 divisors (see below), whose sum is σ = 36852480. Its totient is φ = 3275712.

The previous prime is 12284033. The next prime is 12284057. The reversal of 12284040 is 4048221.

It is a junction number, because it is equal to n+sod(n) for n = 12283998 and 12284016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51064 + ... + 51303.

It is an arithmetic number, because the mean of its divisors is an integer number (1151640).

Almost surely, 212284040 is an apocalyptic number.

12284040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12284040 is an abundant number, since it is smaller than the sum of its proper divisors (24568440).

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

12284040 is a wasteful number, since it uses less digits than its factorization.

12284040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102381 (or 102377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12284040 is about 3504.8594836313. The cubic root of 12284040 is about 230.7351399214.

The spelling of 12284040 in words is "twelve million, two hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 102367 204734 307101 409468 511835 614202 818936 1023670 1228404 1535505 2047340 2456808 3071010 4094680 6142020 12284040