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12074672 = 242953491
BaseRepresentation
bin101110000011…
…111010110000
3211201110100002
4232003322300
511042342142
61110445132
7204430061
oct56037260
924643302
1012074672
1168a7975
1240637a8
132669c9c
141864568
1510d7a32
hexb83eb0

12074672 has 40 divisors (see below), whose sum is σ = 24708240. Its totient is φ = 5707520.

The previous prime is 12074669. The next prime is 12074677. The reversal of 12074672 is 27647021.

12074672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (12074677) 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, 24347 + ... + 24837.

It is an arithmetic number, because the mean of its divisors is an integer number (617706).

Almost surely, 212074672 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 12074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354120).

12074672 is an abundant number, since it is smaller than the sum of its proper divisors (12633568).

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

12074672 is a wasteful number, since it uses less digits than its factorization.

12074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 12074672 is about 3474.8628749923. The cubic root of 12074672 is about 229.4167452426.

The spelling of 12074672 in words is "twelve million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 491 848 982 1537 1964 3074 3928 6148 7856 12296 14239 24592 26023 28478 52046 56956 104092 113912 208184 227824 416368 754667 1509334 3018668 6037336 12074672