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12089040 = 2435172963
BaseRepresentation
bin101110000111…
…011011010000
3211202012001020
4232013123100
511043322130
61111035440
7204520005
oct56073320
924665036
1012089040
116907747
12406bb80
1326736a2
1418698ac
1510dbe10
hexb876d0

12089040 has 80 divisors (see below), whose sum is σ = 39693888. Its totient is φ = 3033088.

The previous prime is 12088991. The next prime is 12089059. The reversal of 12089040 is 4098021.

12089040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×120890402 = 292289776243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12089040.

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, 2599 + ... + 5561.

Almost surely, 212089040 is an apocalyptic number.

12089040 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 12089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944).

12089040 is an abundant number, since it is smaller than the sum of its proper divisors (27604848).

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

12089040 is a wasteful number, since it uses less digits than its factorization.

12089040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12089040 is about 3476.9296800482. The cubic root of 12089040 is about 229.5077057043.

The spelling of 12089040 in words is "twelve million, eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2963 4080 5926 8889 11852 14815 17778 23704 29630 35556 44445 47408 50371 59260 71112 88890 100742 118520 142224 151113 177780 201484 237040 251855 302226 355560 402968 503710 604452 711120 755565 805936 1007420 1208904 1511130 2014840 2417808 3022260 4029680 6044520 12089040