Search a number
-
+
20408556880 = 2452341270527
BaseRepresentation
bin10011000000011100…
…011101110101010000
31221200022022002221001
4103000130131311100
5313244042310010
613213042111344
71321512604555
oct230034356520
957608262831
1020408556880
118723109938
123b5694b554
131c03223c7a
14db8676a2c
157e6a6ec3a
hex4c071dd50

20408556880 has 80 divisors (see below), whose sum is σ = 50720753664. Its totient is φ = 7618012160.

The previous prime is 20408556871. The next prime is 20408556881. The reversal of 20408556880 is 8865580402.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 20408556880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20408556881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59824 + ... + 210703.

Almost surely, 220408556880 is an apocalyptic number.

20408556880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20408556880 is an abundant number, since it is smaller than the sum of its proper divisors (30312196784).

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

20408556880 is a wasteful number, since it uses less digits than its factorization.

20408556880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270604 (or 270598 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 20408556880 in words is "twenty billion, four hundred eight million, five hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 368 410 460 656 820 920 943 1640 1840 1886 3280 3772 4715 7544 9430 15088 18860 37720 75440 270527 541054 1082108 1352635 2164216 2705270 4328432 5410540 6222121 10821080 11091607 12444242 21642160 22183214 24888484 31110605 44366428 49776968 55458035 62221210 88732856 99553936 110916070 124442420 177465712 221832140 248884840 255106961 443664280 497769680 510213922 887328560 1020427844 1275534805 2040855688 2551069610 4081711376 5102139220 10204278440 20408556880