Search a number
-
+
21376000 = 21053167
BaseRepresentation
bin101000110001…
…0110000000000
31111020000100201
41101202300000
520433013000
62042054544
7346456462
oct121426000
944200321
1021376000
1111080118
1271aa454
134575829
142ba6132
151d2396a
hex1462c00

21376000 has 88 divisors (see below), whose sum is σ = 53647776. Its totient is φ = 8499200.

The previous prime is 21375971. The next prime is 21376009. The reversal of 21376000 is 67312.

It is not an unprimeable number, because it can be changed into a prime (21376009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127917 + ... + 128083.

Almost surely, 221376000 is an apocalyptic number.

21376000 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 21376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823888).

21376000 is an abundant number, since it is smaller than the sum of its proper divisors (32271776).

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

21376000 is an equidigital number, since it uses as much as digits as its factorization.

21376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 21376000 is about 4623.4186485760. The cubic root of 21376000 is about 277.5292829526.

The spelling of 21376000 in words is "twenty-one million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 167 200 250 256 320 334 400 500 512 640 668 800 835 1000 1024 1280 1336 1600 1670 2000 2560 2672 3200 3340 4000 4175 5120 5344 6400 6680 8000 8350 10688 12800 13360 16000 16700 20875 21376 25600 26720 32000 33400 41750 42752 53440 64000 66800 83500 85504 106880 128000 133600 167000 171008 213760 267200 334000 427520 534400 668000 855040 1068800 1336000 2137600 2672000 4275200 5344000 10688000 21376000