Search a number
-
+
20781990 = 232517347
BaseRepresentation
bin100111101000…
…1101110100110
31110002211112100
41033101232212
520310010430
62021232530
7341433615
oct117215646
943084470
1020781990
11108048a9
126b62746
1343c8348
142a8d87c
151c57960
hex13d1ba6

20781990 has 96 divisors (see below), whose sum is σ = 58631040. Its totient is φ = 5104896.

The previous prime is 20781931. The next prime is 20782031. The reversal of 20781990 is 9918702.

It is a happy number.

It is a super-2 number, since 2×207819902 = 863782216720200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442147 + ... + 442193.

It is an arithmetic number, because the mean of its divisors is an integer number (610740).

Almost surely, 220781990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20781990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315520).

20781990 is an abundant number, since it is smaller than the sum of its proper divisors (37849050).

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

20781990 is a wasteful number, since it uses less digits than its factorization.

20781990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 20781990 is about 4558.7267959377. The cubic root of 20781990 is about 274.9343755256.

The spelling of 20781990 in words is "twenty million, seven hundred eighty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 47 51 85 90 94 102 141 153 170 235 255 282 289 306 423 470 510 578 705 765 799 846 867 1410 1445 1530 1598 1734 2115 2397 2601 2890 3995 4230 4335 4794 4913 5202 7191 7990 8670 9826 11985 13005 13583 14382 14739 23970 24565 26010 27166 29478 35955 40749 44217 49130 67915 71910 73695 81498 88434 122247 135830 147390 203745 221085 230911 244494 407490 442170 461822 611235 692733 1154555 1222470 1385466 2078199 2309110 3463665 4156398 6927330 10390995 20781990