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20112624 = 24357739
BaseRepresentation
bin100110010111…
…0010011110000
31101211211100000
41030232103300
520122100444
61555030000
7332645250
oct114562360
941754300
1020112624
1110397a04
12689b300
13422277c
142957960
151b74469
hex132e4f0

20112624 has 120 divisors (see below), whose sum is σ = 66801280. Its totient is φ = 5738688.

The previous prime is 20112611. The next prime is 20112629. The reversal of 20112624 is 42621102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20112597 and 20112606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112629) 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, 26847 + ... + 27585.

Almost surely, 220112624 is an apocalyptic number.

20112624 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 20112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33400640).

20112624 is an abundant number, since it is smaller than the sum of its proper divisors (46688656).

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

20112624 is an equidigital number, since it uses as much as digits as its factorization.

20112624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

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

The square root of 20112624 is about 4484.7100240707. The cubic root of 20112624 is about 271.9503225308.

Adding to 20112624 its reverse (42621102), we get a palindrome (62733726).

It can be divided in two parts, 20112 and 624, that added together give a 4-th power (20736 = 124).

The spelling of 20112624 in words is "twenty million, one hundred twelve thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 739 756 972 1008 1134 1296 1478 1512 1701 1944 2217 2268 2956 3024 3402 3888 4434 4536 5173 5912 6651 6804 8868 9072 10346 11824 13302 13608 15519 17736 19953 20692 26604 27216 31038 35472 39906 41384 46557 53208 59859 62076 79812 82768 93114 106416 119718 124152 139671 159624 179577 186228 239436 248304 279342 319248 359154 372456 419013 478872 558684 718308 744912 838026 957744 1117368 1257039 1436616 1676052 2234736 2514078 2873232 3352104 5028156 6704208 10056312 20112624