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19966986 = 2341319499
BaseRepresentation
bin100110000101…
…0110000001010
31101120102120000
41030022300022
520102420421
61551543430
7331500534
oct114126012
941512500
1019966986
11102a8546
12682ab76
1341a13b0
14291a854
151b46226
hex130ac0a

19966986 has 80 divisors (see below), whose sum is σ = 50820000. Its totient is φ = 5808672.

The previous prime is 19966951. The next prime is 19967047. The reversal of 19966986 is 68966991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39765 + ... + 40263.

It is an arithmetic number, because the mean of its divisors is an integer number (635250).

Almost surely, 219966986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19966986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410000).

19966986 is an abundant number, since it is smaller than the sum of its proper divisors (30853014).

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

19966986 is a wasteful number, since it uses less digits than its factorization.

19966986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 19966986 is about 4468.4433531153. The cubic root of 19966986 is about 271.2923230979.

The spelling of 19966986 in words is "nineteen million, nine hundred sixty-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 499 513 702 741 998 1026 1053 1482 1497 1539 2106 2223 2994 3078 4446 4491 6487 6669 8982 9481 12974 13338 13473 18962 19461 20007 26946 28443 38922 40014 40419 56886 58383 80838 85329 116766 123253 170658 175149 246506 255987 350298 369759 511974 525447 739518 767961 1050894 1109277 1535922 2218554 3327831 6655662 9983493 19966986