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12038960 = 245612467
BaseRepresentation
bin101101111011…
…001100110000
3211122122100102
4231323030300
511040221320
61110011532
7204221003
oct55731460
924578312
1012038960
11688305a
124046ba8
13265695b
14185553a
1510cc175
hexb7b330

12038960 has 40 divisors (see below), whose sum is σ = 28460976. Its totient is φ = 4734720.

The previous prime is 12038933. The next prime is 12038963. The reversal of 12038960 is 6983021.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12038963) by changing a digit.

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, 3647 + ... + 6113.

Almost surely, 212038960 is an apocalyptic number.

12038960 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 12038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230488).

12038960 is an abundant number, since it is smaller than the sum of its proper divisors (16422016).

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

12038960 is a wasteful number, since it uses less digits than its factorization.

12038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12038960 is about 3469.7204498345. The cubic root of 12038960 is about 229.1903478925.

The spelling of 12038960 in words is "twelve million, thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2467 4880 4934 9868 12335 19736 24670 39472 49340 98680 150487 197360 300974 601948 752435 1203896 1504870 2407792 3009740 6019480 12038960