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20992000 = 2125341
BaseRepresentation
bin101000000010…
…1000000000000
31110111111121111
41100011000000
520333221000
62025533104
7343300111
oct120050000
943444544
1020992000
1110938667
127044194
13446cb03
142b06208
151c99cba
hex1405000

20992000 has 104 divisors (see below), whose sum is σ = 53667432. Its totient is φ = 8192000.

The previous prime is 20991989. The next prime is 20992007. The reversal of 20992000 is 29902.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 16257024 = 2176^2 + 4032^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20992007) 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, 511980 + ... + 512020.

It is an arithmetic number, because the mean of its divisors is an integer number (516033).

Almost surely, 220992000 is an apocalyptic number.

20992000 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 20992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26833716).

20992000 is an abundant number, since it is smaller than the sum of its proper divisors (32675432).

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

20992000 is an frugal number, since it uses more digits than its factorization.

20992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 20992000 is about 4581.7027402484. The cubic root of 20992000 is about 275.8573792306.

The spelling of 20992000 in words is "twenty million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 640 656 800 820 1000 1024 1025 1280 1312 1600 1640 2000 2048 2050 2560 2624 3200 3280 4000 4096 4100 5120 5125 5248 6400 6560 8000 8200 10240 10250 10496 12800 13120 16000 16400 20480 20500 20992 25600 26240 32000 32800 41000 41984 51200 52480 64000 65600 82000 83968 102400 104960 128000 131200 164000 167936 209920 256000 262400 328000 419840 512000 524800 656000 839680 1049600 1312000 2099200 2624000 4198400 5248000 10496000 20992000