Search a number
-
+
19959642 = 2331133271
BaseRepresentation
bin100110000100…
…0111101011010
31101120001111000
41030020331122
520102202032
61551445430
7331440243
oct114107532
941501430
1019959642
11102a2a7a
126826876
13419ac51
142917cca
151b43e7c
hex1308f5a

19959642 has 32 divisors (see below), whose sum is σ = 44760960. Its totient is φ = 6592320.

The previous prime is 19959637. The next prime is 19959677. The reversal of 19959642 is 24695991.

19959642 is a `hidden beast` number, since 19 + 9 + 596 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4467 + ... + 7737.

It is an arithmetic number, because the mean of its divisors is an integer number (1398780).

Almost surely, 219959642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19959642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22380480).

19959642 is an abundant number, since it is smaller than the sum of its proper divisors (24801318).

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

19959642 is a wasteful number, since it uses less digits than its factorization.

19959642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3389 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 19959642 is about 4467.6215148555. The cubic root of 19959642 is about 271.2590579348.

The spelling of 19959642 in words is "nineteen million, nine hundred fifty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 3271 6102 6542 9813 19626 29439 58878 88317 176634 369623 739246 1108869 2217738 3326607 6653214 9979821 19959642