Search a number
-
+
19965978 = 23223291663
BaseRepresentation
bin100110000101…
…0100000011010
31101120101011200
41030022200122
520102402403
61551535030
7331464564
oct114124032
941511150
1019965978
11102a780a
12682a476
1341a0ab6
14291a334
151b45ca3
hex130a81a

19965978 has 48 divisors (see below), whose sum is σ = 46725120. Its totient is φ = 6142752.

The previous prime is 19965961. The next prime is 19965997. The reversal of 19965978 is 87956991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11175 + ... + 12837.

It is an arithmetic number, because the mean of its divisors is an integer number (973440).

Almost surely, 219965978 is an apocalyptic number.

19965978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19965978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362560).

19965978 is an abundant number, since it is smaller than the sum of its proper divisors (26759142).

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

19965978 is a wasteful number, since it uses less digits than its factorization.

19965978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1720 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19965978 is about 4468.3305607352. The cubic root of 19965978 is about 271.2877577742.

The spelling of 19965978 in words is "nineteen million, nine hundred sixty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 1663 2001 3326 4002 4989 6003 9978 12006 14967 29934 38249 48227 76498 96454 114747 144681 229494 289362 344241 434043 688482 868086 1109221 2218442 3327663 6655326 9982989 19965978