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24106104 = 23321122767
BaseRepresentation
bin101101111110…
…1010001111000
31200100201100200
41123331101320
522132343404
62220402200
7411620121
oct133752170
950321320
1024106104
1112675300
1280a6360
134cc0389
1432b7048
1521b2839
hex16fd478

24106104 has 72 divisors (see below), whose sum is σ = 71788080. Its totient is φ = 7302240.

The previous prime is 24106097. The next prime is 24106111. The reversal of 24106104 is 40160142.

It is an interprime number because it is at equal distance from previous prime (24106097) and next prime (24106111).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×241061042 = 1162208500117632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7329 + ... + 10095.

Almost surely, 224106104 is an apocalyptic number.

24106104 is a gapful number since it is divisible by the number (24) 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 24106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35894040).

24106104 is an abundant number, since it is smaller than the sum of its proper divisors (47681976).

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

24106104 is a wasteful number, since it uses less digits than its factorization.

24106104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 24106104 is about 4909.7967371369. The cubic root of 24106104 is about 288.8743681941.

Adding to 24106104 its reverse (40160142), we get a palindrome (64266246).

The spelling of 24106104 in words is "twenty-four million, one hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2767 2904 4356 5534 8301 8712 11068 16602 22136 24903 30437 33204 49806 60874 66408 91311 99612 121748 182622 199224 243496 273933 334807 365244 547866 669614 730488 1004421 1095732 1339228 2008842 2191464 2678456 3013263 4017684 6026526 8035368 12053052 24106104