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12082374 = 2323159367
BaseRepresentation
bin101110000101…
…110011000110
3211201211220100
4232011303012
511043113444
61110544530
7204461403
oct56056306
924654810
1012082374
116902737
124068146
132670645
1418672aa
1510d9e69
hexb85cc6

12082374 has 48 divisors (see below), whose sum is σ = 27555840. Its totient is φ = 3821040.

The previous prime is 12082361. The next prime is 12082381. The reversal of 12082374 is 47328021.

12082374 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120823742 = 291967522951752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32739 + ... + 33105.

It is an arithmetic number, because the mean of its divisors is an integer number (574080).

Almost surely, 212082374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12082374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777920).

12082374 is an abundant number, since it is smaller than the sum of its proper divisors (15473466).

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

12082374 is a wasteful number, since it uses less digits than its factorization.

12082374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12082374 is about 3475.9709434919. The cubic root of 12082374 is about 229.4655137781.

The spelling of 12082374 in words is "twelve million, eighty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 279 354 367 531 558 734 1062 1101 1829 2202 3303 3658 5487 6606 10974 11377 16461 21653 22754 32922 34131 43306 64959 68262 102393 129918 194877 204786 389754 671243 1342486 2013729 4027458 6041187 12082374