Search a number
-
+
19996620 = 22357471013
BaseRepresentation
bin100110001000…
…1111111001100
31101121221012120
41030101333030
520104342440
61552332540
7331653120
oct114217714
941557176
1019996620
1110318836
126844150
1341b1a27
142927580
151b4edd0
hex1311fcc

19996620 has 96 divisors (see below), whose sum is σ = 65415168. Its totient is φ = 4468992.

The previous prime is 19996597. The next prime is 19996621. The reversal of 19996620 is 2669991.

It is a happy number.

It is a super-2 number, since 2×199966202 = 799729622848800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (19996621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19234 + ... + 20246.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 219996620 is an apocalyptic number.

19996620 is a gapful number since it is divisible by the number (10) 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 19996620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584).

19996620 is an abundant number, since it is smaller than the sum of its proper divisors (45418548).

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

19996620 is a wasteful number, since it uses less digits than its factorization.

19996620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 19996620 is about 4471.7580435439. The cubic root of 19996620 is about 271.4264695788.

The spelling of 19996620 in words is "nineteen million, nine hundred ninety-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1013 1316 1410 1645 1974 2026 2820 3039 3290 3948 4052 4935 5065 6078 6580 7091 9870 10130 12156 14182 15195 19740 20260 21273 28364 30390 35455 42546 47611 60780 70910 85092 95222 106365 141820 142833 190444 212730 238055 285666 333277 425460 476110 571332 666554 714165 952220 999831 1333108 1428330 1666385 1999662 2856660 3332770 3999324 4999155 6665540 9998310 19996620