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20089600 = 28524373
BaseRepresentation
bin100110010100…
…0101100000000
31101210122202021
41030220230000
520120331400
61554331224
7332521156
oct114505400
941718667
1020089600
1110381683
126889b14
13421514b
14294d3d6
151b6c71a
hex1328b00

20089600 has 108 divisors (see below), whose sum is σ = 51578296. Its totient is φ = 7741440.

The previous prime is 20089591. The next prime is 20089609. The reversal of 20089600 is 698002.

It is an interprime number because it is at equal distance from previous prime (20089591) and next prime (20089609).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20089609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275164 + ... + 275236.

Almost surely, 220089600 is an apocalyptic number.

20089600 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 20089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25789148).

20089600 is an abundant number, since it is smaller than the sum of its proper divisors (31488696).

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

20089600 is an equidigital number, since it uses as much as digits as its factorization.

20089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 20089600 is about 4482.1423449061. The cubic root of 20089600 is about 271.8465108652.

The spelling of 20089600 in words is "twenty million, eighty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 73 80 86 100 128 146 160 172 200 215 256 292 320 344 365 400 430 584 640 688 730 800 860 1075 1168 1280 1376 1460 1600 1720 1825 2150 2336 2752 2920 3139 3200 3440 3650 4300 4672 5504 5840 6278 6400 6880 7300 8600 9344 11008 11680 12556 13760 14600 15695 17200 18688 23360 25112 27520 29200 31390 34400 46720 50224 55040 58400 62780 68800 78475 93440 100448 116800 125560 137600 156950 200896 233600 251120 275200 313900 401792 467200 502240 627800 803584 1004480 1255600 2008960 2511200 4017920 5022400 10044800 20089600