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12019728 = 243783431
BaseRepresentation
bin101101110110…
…100000010000
3211121122222010
4231312200100
511034112403
61105342520
7204110640
oct55664020
924548863
1012019728
11686a666
124037a40
13264ac86
14184c520
1510c6603
hexb76810

12019728 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3384960.

The previous prime is 12019703. The next prime is 12019729. The reversal of 12019728 is 82791021.

It is a super-2 number, since 2×120197282 = 288947722387968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12019695 and 12019704.

It is not an unprimeable number, because it can be changed into a prime (12019729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27673 + ... + 28103.

Almost surely, 212019728 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 12019728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12019728 is an abundant number, since it is smaller than the sum of its proper divisors (23977968).

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

12019728 is a wasteful number, since it uses less digits than its factorization.

12019728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 12019728 is about 3466.9479373074. The cubic root of 12019728 is about 229.0682405019.

The spelling of 12019728 in words is "twelve million, nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 431 498 581 664 862 996 1162 1293 1328 1724 1743 1992 2324 2586 3017 3448 3486 3984 4648 5172 6034 6896 6972 9051 9296 10344 12068 13944 18102 20688 24136 27888 35773 36204 48272 71546 72408 107319 143092 144816 214638 250411 286184 429276 500822 572368 751233 858552 1001644 1502466 1717104 2003288 3004932 4006576 6009864 12019728