Search a number
-
+
19969840 = 2451122063
BaseRepresentation
bin100110000101…
…1011100110000
31101120120110201
41030023130300
520103013330
61552004544
7331512052
oct114133460
941516421
1019969840
11102aa700
126830754
1341a2797
14291b8d2
151b46eca
hex130b730

19969840 has 60 divisors (see below), whose sum is σ = 51059232. Its totient is φ = 7258240.

The previous prime is 19969799. The next prime is 19969843. The reversal of 19969840 is 4896991.

It is not an unprimeable number, because it can be changed into a prime (19969843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8649 + ... + 10711.

Almost surely, 219969840 is an apocalyptic number.

19969840 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 19969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529616).

19969840 is an abundant number, since it is smaller than the sum of its proper divisors (31089392).

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

19969840 is a wasteful number, since it uses less digits than its factorization.

19969840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 19969840 is about 4468.7626922897. The cubic root of 19969840 is about 271.3052482902.

The spelling of 19969840 in words is "nineteen million, nine hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2063 2420 4126 4840 8252 9680 10315 16504 20630 22693 33008 41260 45386 82520 90772 113465 165040 181544 226930 249623 363088 453860 499246 907720 998492 1248115 1815440 1996984 2496230 3993968 4992460 9984920 19969840