Search a number
-
+
20014992 = 2433107433
BaseRepresentation
bin100110001011…
…0011110010000
31101122212102000
41030112132100
520110434432
61552554000
7332060514
oct114263620
941585360
1020014992
1110330618
126852900
1341ba1ba
142930144
151b5557c
hex1316790

20014992 has 80 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 6594048.

The previous prime is 20014987. The next prime is 20014993. The reversal of 20014992 is 29941002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20014993) 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 15 ways as a sum of consecutive naturals, for example, 46008 + ... + 46440.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 220014992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20014992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

20014992 is an abundant number, since it is smaller than the sum of its proper divisors (38106288).

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

20014992 is a wasteful number, since it uses less digits than its factorization.

20014992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20014992 is about 4473.8117975614. The cubic root of 20014992 is about 271.5095689677.

Adding to 20014992 its reverse (29941002), we get a palindrome (49955994).

The spelling of 20014992 in words is "twenty million, fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 433 642 856 866 963 1284 1299 1712 1732 1926 2568 2598 2889 3464 3852 3897 5136 5196 5778 6928 7704 7794 10392 11556 11691 15408 15588 20784 23112 23382 31176 46224 46331 46764 62352 92662 93528 138993 185324 187056 277986 370648 416979 555972 741296 833958 1111944 1250937 1667916 2223888 2501874 3335832 5003748 6671664 10007496 20014992