Search a number
-
+
20276640 = 2532514081
BaseRepresentation
bin100110101011…
…0010110100000
31102011011022200
41031112112200
520142323030
62002333200
7334230366
oct115262640
942134280
1020276640
111049a15a
12695a200
13427c317
14299b636
151ba7d60
hex13565a0

20276640 has 72 divisors (see below), whose sum is σ = 69198948. Its totient is φ = 5406720.

The previous prime is 20276621. The next prime is 20276657. The reversal of 20276640 is 4667202.

It can be written as a sum of positive squares in 2 ways, for example, as 20034576 + 242064 = 4476^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×202766402 = 822284259379200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5601 + ... + 8480.

Almost surely, 220276640 is an apocalyptic number.

20276640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20276640 is an abundant number, since it is smaller than the sum of its proper divisors (48922308).

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

20276640 is a wasteful number, since it uses less digits than its factorization.

20276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20276640 is about 4502.9590271287. The cubic root of 20276640 is about 272.6875627032.

The spelling of 20276640 in words is "twenty million, two hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14081 28162 42243 56324 70405 84486 112648 126729 140810 168972 211215 225296 253458 281620 337944 422430 450592 506916 563240 633645 675888 844860 1013832 1126480 1267290 1351776 1689720 2027664 2252960 2534580 3379440 4055328 5069160 6758880 10138320 20276640