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12029024 = 25783647
BaseRepresentation
bin101101111000…
…110001100000
3211122010201102
4231320301200
511034412044
61105453532
7204150020
oct55706140
924563642
1012029024
116876647
1240412a8
132652287
141851a80
1510c924e
hexb78c60

12029024 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 5085312.

The previous prime is 12028993. The next prime is 12029029. The reversal of 12029024 is 42092021.

It is a junction number, because it is equal to n+sod(n) for n = 12028987 and 12029005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12029029) by changing a digit.

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, 18269 + ... + 18915.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212029024 is an apocalyptic number.

12029024 is a gapful number since it is divisible by the number (14) 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 12029024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12029024 is an abundant number, since it is smaller than the sum of its proper divisors (15404704).

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

12029024 is an equidigital number, since it uses as much as digits as its factorization.

12029024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12029024 is about 3468.2883386478. The cubic root of 12029024 is about 229.1272787109.

The spelling of 12029024 in words is "twelve million, twenty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 647 664 1162 1294 1328 2324 2588 2656 4529 4648 5176 9058 9296 10352 18116 18592 20704 36232 53701 72464 107402 144928 214804 375907 429608 751814 859216 1503628 1718432 3007256 6014512 12029024