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20012916 = 2237113179
BaseRepresentation
bin100110001010…
…1111101110100
31101122202120010
41030111331310
520110403131
61552540220
7332051460
oct114257564
941582503
1020012916
111032a000
126851670
1341b9281
14292d4a0
151b54b46
hex1315f74

20012916 has 96 divisors (see below), whose sum is σ = 59028480. Its totient is φ = 5169120.

The previous prime is 20012903. The next prime is 20012917. The reversal of 20012916 is 61921002.

20012916 = T139 + T140 + ... + T496.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20012892 and 20012901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012917) 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, 111715 + ... + 111893.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 220012916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29514240).

20012916 is an abundant number, since it is smaller than the sum of its proper divisors (39015564).

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

20012916 is a wasteful number, since it uses less digits than its factorization.

20012916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 20012916 is about 4473.5797746324. The cubic root of 20012916 is about 271.5001814487.

Adding to 20012916 its reverse (61921002), we get a palindrome (81933918).

The spelling of 20012916 in words is "twenty million, twelve thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 179 231 242 308 358 363 462 484 537 716 726 847 924 1074 1253 1331 1452 1694 1969 2148 2506 2541 2662 3388 3759 3938 3993 5012 5082 5324 5907 7518 7876 7986 9317 10164 11814 13783 15036 15972 18634 21659 23628 27566 27951 37268 41349 43318 55132 55902 64977 82698 86636 111804 129954 151613 165396 238249 259908 303226 454839 476498 606452 714747 909678 952996 1429494 1667743 1819356 2858988 3335486 5003229 6670972 10006458 20012916