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12074128 = 2411312213
BaseRepresentation
bin101110000011…
…110010010000
3211201102120221
4232003302100
511042333003
61110442424
7204425353
oct56036220
924642527
1012074128
1168a7520
124063414
132669971
14186429a
1510d77bd
hexb83c90

12074128 has 40 divisors (see below), whose sum is σ = 26355456. Its totient is φ = 5308800.

The previous prime is 12074119. The next prime is 12074129. The reversal of 12074128 is 82147021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12074129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4350 + ... + 6562.

Almost surely, 212074128 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 12074128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177728).

12074128 is an abundant number, since it is smaller than the sum of its proper divisors (14281328).

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

12074128 is a wasteful number, since it uses less digits than its factorization.

12074128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 12074128 is about 3474.7845976406. The cubic root of 12074128 is about 229.4132998879.

It can be divided in two parts, 1207 and 4128, that added together give a palindrome (5335).

The spelling of 12074128 in words is "twelve million, seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2213 2728 4426 5456 8852 17704 24343 35408 48686 68603 97372 137206 194744 274412 389488 548824 754633 1097648 1509266 3018532 6037064 12074128