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20010624 = 27331412
BaseRepresentation
bin100110001010…
…1011010000000
31101122122102020
41030111122000
520110314444
61552521440
7332042004
oct114253200
941578366
1020010624
1110328307
126850280
1341b820a
14292c704
151b54119
hex1315680

20010624 has 96 divisors (see below), whose sum is σ = 56238720. Its totient is φ = 6297600.

The previous prime is 20010539. The next prime is 20010637. The reversal of 20010624 is 42601002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-6 number, since 6×200106246 (a number of 45 digits) contains 666666 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488044 + ... + 488084.

It is an arithmetic number, because the mean of its divisors is an integer number (585820).

Almost surely, 220010624 is an apocalyptic number.

20010624 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 20010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119360).

20010624 is an abundant number, since it is smaller than the sum of its proper divisors (36228096).

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

20010624 is an equidigital number, since it uses as much as digits as its factorization.

20010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20010624 is about 4473.3235966114. The cubic root of 20010624 is about 271.4898164395.

Adding to 20010624 its reverse (42601002), we get a palindrome (62611626).

The spelling of 20010624 in words is "twenty million, ten thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 246 248 328 372 384 492 496 656 744 984 992 1271 1312 1488 1681 1968 1984 2542 2624 2976 3362 3813 3936 3968 5043 5084 5248 5952 6724 7626 7872 10086 10168 11904 13448 15252 15744 20172 20336 26896 30504 40344 40672 52111 53792 61008 80688 81344 104222 107584 122016 156333 161376 162688 208444 215168 244032 312666 322752 416888 488064 625332 645504 833776 1250664 1667552 2501328 3335104 5002656 6670208 10005312 20010624