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20867040 = 2532543337
BaseRepresentation
bin100111110011…
…0011111100000
31110021011012100
41033212133200
520320221130
62023130400
7342236565
oct117463740
943234170
1020867040
1110862797
126ba3a00
134427c7c
142ab286c
151c72c60
hex13e67e0

20867040 has 144 divisors (see below), whose sum is σ = 73081008. Its totient is φ = 5419008.

The previous prime is 20867039. The next prime is 20867047. The reversal of 20867040 is 4076802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 20866995 and 20867013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20867047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61752 + ... + 62088.

It is an arithmetic number, because the mean of its divisors is an integer number (507507).

Almost surely, 220867040 is an apocalyptic number.

20867040 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 20867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36540504).

20867040 is an abundant number, since it is smaller than the sum of its proper divisors (52213968).

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

20867040 is a wasteful number, since it uses less digits than its factorization.

20867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20867040 is about 4568.0455339237. The cubic root of 20867040 is about 275.3089200637.

The spelling of 20867040 in words is "twenty million, eight hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 337 344 360 387 430 480 516 645 674 688 720 774 860 1011 1032 1290 1348 1376 1440 1548 1685 1720 1935 2022 2064 2580 2696 3033 3096 3370 3440 3870 4044 4128 5055 5160 5392 6066 6192 6740 6880 7740 8088 10110 10320 10784 12132 12384 13480 14491 15165 15480 16176 20220 20640 24264 26960 28982 30330 30960 32352 40440 43473 48528 53920 57964 60660 61920 72455 80880 86946 97056 115928 121320 130419 144910 161760 173892 217365 231856 242640 260838 289820 347784 434730 463712 485280 521676 579640 652095 695568 869460 1043352 1159280 1304190 1391136 1738920 2086704 2318560 2608380 3477840 4173408 5216760 6955680 10433520 20867040