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12007088 = 2419127311
BaseRepresentation
bin101101110011…
…011010110000
3211121000121222
4231303122300
511033211323
61105204212
7204026042
oct55633260
924530558
1012007088
116861115
124030668
1326452b2
141847a92
1510c29c8
hexb736b0

12007088 has 40 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 5624640.

The previous prime is 12007027. The next prime is 12007103. The reversal of 12007088 is 88070021.

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 7 ways as a sum of consecutive naturals, for example, 38453 + ... + 38763.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 212007088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12007088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

12007088 is an abundant number, since it is smaller than the sum of its proper divisors (12753232).

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

12007088 is a wasteful number, since it uses less digits than its factorization.

12007088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 12007088 is about 3465.1245287868. The cubic root of 12007088 is about 228.9879159416.

The spelling of 12007088 in words is "twelve million, seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 311 508 622 1016 1244 2032 2413 2488 4826 4976 5909 9652 11818 19304 23636 38608 39497 47272 78994 94544 157988 315976 631952 750443 1500886 3001772 6003544 12007088