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12429396 = 2233741401
BaseRepresentation
bin101111011010…
…100001010100
3212101110221000
4233122201110
511140220041
61122223300
7210435210
oct57324124
925343830
1012429396
11701a431
1241b4b30
132762595
141917940
151157bb6
hexbda854

12429396 has 96 divisors (see below), whose sum is σ = 37820160. Its totient is φ = 3456000.

The previous prime is 12429383. The next prime is 12429409. The reversal of 12429396 is 69392421.

12429396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12429383) and next prime (12429409).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12429396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30796 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (393960).

Almost surely, 212429396 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 12429396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910080).

12429396 is an abundant number, since it is smaller than the sum of its proper divisors (25390764).

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

12429396 is a wasteful number, since it uses less digits than its factorization.

12429396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12429396 is about 3525.5348530400. The cubic root of 12429396 is about 231.6416634219.

The spelling of 12429396 in words is "twelve million, four hundred twenty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 401 492 574 738 756 802 861 1107 1148 1203 1476 1604 1722 2214 2406 2583 2807 3444 3609 4428 4812 5166 5614 7218 7749 8421 10332 10827 11228 14436 15498 16441 16842 21654 25263 30996 32882 33684 43308 49323 50526 65764 75789 98646 101052 115087 147969 151578 197292 230174 295938 303156 345261 443907 460348 591876 690522 887814 1035783 1381044 1775628 2071566 3107349 4143132 6214698 12429396