Search a number
-
+
104117244 = 223711281401
BaseRepresentation
bin1100011010010…
…11001111111100
321020220201000020
412031023033330
5203123222434
614155332140
72402660550
oct615131774
9236821006
10104117244
1153853910
122aa51050
131875584a
14db83860
159219849
hex634b3fc

104117244 has 96 divisors (see below), whose sum is σ = 304722432. Its totient is φ = 26880000.

The previous prime is 104117239. The next prime is 104117249. The reversal of 104117244 is 442711401.

It is an interprime number because it is at equal distance from previous prime (104117239) and next prime (104117249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104117249) 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, 259444 + ... + 259844.

It is an arithmetic number, because the mean of its divisors is an integer number (3174192).

Almost surely, 2104117244 is an apocalyptic number.

104117244 is a gapful number since it is divisible by the number (14) 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 104117244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152361216).

104117244 is an abundant number, since it is smaller than the sum of its proper divisors (200605188).

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

104117244 is a wasteful number, since it uses less digits than its factorization.

104117244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 104117244 is about 10203.7857680373. The cubic root of 104117244 is about 470.4435890527.

Adding to 104117244 its reverse (442711401), we get a palindrome (546828645).

The spelling of 104117244 in words is "one hundred four million, one hundred seventeen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 281 308 401 462 562 802 843 924 1124 1203 1604 1686 1967 2406 2807 3091 3372 3934 4411 4812 5614 5901 6182 7868 8421 8822 9273 11228 11802 12364 13233 16842 17644 18546 21637 23604 26466 30877 33684 37092 43274 52932 61754 64911 86548 92631 112681 123508 129822 185262 225362 259644 338043 370524 450724 676086 788767 1239491 1352172 1577534 2366301 2478982 3155068 3718473 4732602 4957964 7436946 8676437 9465204 14873892 17352874 26029311 34705748 52058622 104117244