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20861440 = 29529281
BaseRepresentation
bin100111110010…
…1001000000000
31110020212111221
41033211020000
520320031230
62023044424
7342214345
oct117451000
943225457
1020861440
1110859566
126ba0714
134425562
142ab07cc
151c7127a
hex13e5200

20861440 has 80 divisors (see below), whose sum is σ = 51927480. Its totient is φ = 8028160.

The previous prime is 20861417. The next prime is 20861441. The reversal of 20861440 is 4416802.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 2611456 = 4272^2 + 1616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20861441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74100 + ... + 74380.

Almost surely, 220861440 is an apocalyptic number.

20861440 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 20861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25963740).

20861440 is an abundant number, since it is smaller than the sum of its proper divisors (31066040).

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

20861440 is an equidigital number, since it uses as much as digits as its factorization.

20861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20861440 is about 4567.4325391844. The cubic root of 20861440 is about 275.2842900269.

The spelling of 20861440 in words is "twenty million, eight hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 281 290 320 464 512 562 580 640 928 1124 1160 1280 1405 1856 2248 2320 2560 2810 3712 4496 4640 5620 7424 8149 8992 9280 11240 14848 16298 17984 18560 22480 32596 35968 37120 40745 44960 65192 71936 74240 81490 89920 130384 143872 162980 179840 260768 325960 359680 521536 651920 719360 1043072 1303840 2086144 2607680 4172288 5215360 10430720 20861440