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4059396 = 2234111767
BaseRepresentation
bin1111011111000100000100
321122020110000
433133010010
52014400041
6223001300
746334655
oct17370404
97566400
104059396
112322980
121439230
13ac1913
1477952c
15552bb6
hex3df104

4059396 has 120 divisors (see below), whose sum is σ = 12440736. Its totient is φ = 1140480.

The previous prime is 4059389. The next prime is 4059397. The reversal of 4059396 is 6939504.

4059396 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4059396.

It is not an unprimeable number, because it can be changed into a prime (4059397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60555 + ... + 60621.

Almost surely, 24059396 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 4059396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220368).

4059396 is an abundant number, since it is smaller than the sum of its proper divisors (8381340).

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

4059396 is a wasteful number, since it uses less digits than its factorization.

4059396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4059396 is about 2014.7942823028. The cubic root of 4059396 is about 159.5219585665.

It can be divided in two parts, 405 and 9396, that added together give a square (9801 = 992).

The spelling of 4059396 in words is "four million, fifty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 67 68 81 99 102 108 132 134 153 162 187 198 201 204 268 297 306 324 374 396 402 459 561 594 603 612 737 748 804 891 918 1122 1139 1188 1206 1377 1474 1683 1782 1809 1836 2211 2244 2278 2412 2754 2948 3366 3417 3564 3618 4422 4556 5049 5427 5508 6633 6732 6834 7236 8844 10098 10251 10854 12529 13266 13668 15147 19899 20196 20502 21708 25058 26532 30294 30753 37587 39798 41004 50116 59697 60588 61506 75174 79596 92259 112761 119394 123012 150348 184518 225522 238788 338283 369036 451044 676566 1014849 1353132 2029698 4059396