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12783480 = 2335307347
BaseRepresentation
bin110000110000…
…111101111000
3220001110122020
4300300331320
511233032410
61133554440
7213441423
oct60607570
926043566
1012783480
117241466
124345a20
1328577b8
1419aa9ba
1511c7a70
hexc30f78

12783480 has 64 divisors (see below), whose sum is σ = 38586240. Its totient is φ = 3388032.

The previous prime is 12783457. The next prime is 12783493. The reversal of 12783480 is 8438721.

12783480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36667 + ... + 37013.

It is an arithmetic number, because the mean of its divisors is an integer number (602910).

Almost surely, 212783480 is an apocalyptic number.

12783480 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 12783480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293120).

12783480 is an abundant number, since it is smaller than the sum of its proper divisors (25802760).

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

12783480 is a wasteful number, since it uses less digits than its factorization.

12783480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 12783480 is about 3575.3992784023. The cubic root of 12783480 is about 233.8207407881.

The spelling of 12783480 in words is "twelve million, seven hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 347 614 694 921 1041 1228 1388 1535 1735 1842 2082 2456 2776 3070 3470 3684 4164 4605 5205 6140 6940 7368 8328 9210 10410 12280 13880 18420 20820 36840 41640 106529 213058 319587 426116 532645 639174 852232 1065290 1278348 1597935 2130580 2556696 3195870 4261160 6391740 12783480