Search a number
-
+
20637960 = 2335779311
BaseRepresentation
bin100111010111…
…0100100001000
31102211111221220
41032232210020
520240403320
62014202040
7340263660
oct116564410
942744856
1020637960
1110716672
126ab3320
134377915
142a531a0
151c29e40
hex13ae908

20637960 has 128 divisors (see below), whose sum is σ = 71884800. Its totient is φ = 4642560.

The previous prime is 20637941. The next prime is 20637977. The reversal of 20637960 is 6973602.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66205 + ... + 66515.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 220637960 is an apocalyptic number.

20637960 is a gapful number since it is divisible by the number (20) 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 20637960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

20637960 is an abundant number, since it is smaller than the sum of its proper divisors (51246840).

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

20637960 is a wasteful number, since it uses less digits than its factorization.

20637960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 20637960 is about 4542.9021561112. The cubic root of 20637960 is about 274.2977564777.

The spelling of 20637960 in words is "twenty million, six hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 210 237 280 311 316 395 420 474 553 622 632 790 840 933 948 1106 1185 1244 1555 1580 1659 1866 1896 2177 2212 2370 2488 2765 3110 3160 3318 3732 4354 4424 4665 4740 5530 6220 6531 6636 7464 8295 8708 9330 9480 10885 11060 12440 13062 13272 16590 17416 18660 21770 22120 24569 26124 32655 33180 37320 43540 49138 52248 65310 66360 73707 87080 98276 122845 130620 147414 171983 196552 245690 261240 294828 343966 368535 491380 515949 589656 687932 737070 859915 982760 1031898 1375864 1474140 1719830 2063796 2579745 2948280 3439660 4127592 5159490 6879320 10318980 20637960