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4113690 = 2357191031
BaseRepresentation
bin1111101100010100011010
321201222220220
433230110122
52023114230
6224100510
746652160
oct17542432
97658826
104113690
11235a749
121464736
13b10549
14791230
15563d10
hex3ec51a

4113690 has 64 divisors (see below), whose sum is σ = 11888640. Its totient is φ = 889920.

The previous prime is 4113667. The next prime is 4113691. The reversal of 4113690 is 963114.

It is a super-2 number, since 2×41136902 = 33844890832200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4113690.

It is not an unprimeable number, because it can be changed into a prime (4113691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3475 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (185760).

Almost surely, 24113690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944320).

4113690 is an abundant number, since it is smaller than the sum of its proper divisors (7774950).

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

4113690 is a wasteful number, since it uses less digits than its factorization.

4113690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4113690 is about 2028.2233604808. The cubic root of 4113690 is about 160.2300077360.

It can be divided in two parts, 41 and 13690, that added together give a palindrome (13731).

The spelling of 4113690 in words is "four million, one hundred thirteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1031 1330 1995 2062 3093 3990 5155 6186 7217 10310 14434 15465 19589 21651 30930 36085 39178 43302 58767 72170 97945 108255 117534 137123 195890 216510 274246 293835 411369 587670 685615 822738 1371230 2056845 4113690