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13826040 = 2335292137
BaseRepresentation
bin110100101111…
…011111111000
3222000102202120
4310233133320
512014413130
61212201240
7225343104
oct64573770
928012676
1013826040
117893788
124769220
132b311b7
141b9c904
151331910
hexd2f7f8

13826040 has 96 divisors (see below), whose sum is σ = 43271280. Its totient is φ = 3533824.

The previous prime is 13826039. The next prime is 13826041. The reversal of 13826040 is 4062831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13826039) and next prime (13826041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13826040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100852 + ... + 100988.

Almost surely, 213826040 is an apocalyptic number.

13826040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13826040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21635640).

13826040 is an abundant number, since it is smaller than the sum of its proper divisors (29445240).

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

13826040 is a wasteful number, since it uses less digits than its factorization.

13826040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13826040 is about 3718.3383385593. The cubic root of 13826040 is about 240.0118049749.

Adding to 13826040 its reverse (4062831), we get a palindrome (17888871).

The spelling of 13826040 in words is "thirteen million, eight hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 137 145 174 232 274 290 348 411 435 548 580 685 696 822 841 870 1096 1160 1370 1644 1682 1740 2055 2523 2740 3288 3364 3480 3973 4110 4205 5046 5480 6728 7946 8220 8410 10092 11919 12615 15892 16440 16820 19865 20184 23838 25230 31784 33640 39730 47676 50460 59595 79460 95352 100920 115217 119190 158920 230434 238380 345651 460868 476760 576085 691302 921736 1152170 1382604 1728255 2304340 2765208 3456510 4608680 6913020 13826040