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20091000 = 2335337181
BaseRepresentation
bin100110010100…
…1000001111000
31101210201200010
41030221001320
520120403000
61554341520
7332525226
oct114510170
941721603
1020091000
1110382736
12688a8a0
134215987
14294db16
151b6cd50
hex1329078

20091000 has 128 divisors (see below), whose sum is σ = 64733760. Its totient is φ = 5184000.

The previous prime is 20090977. The next prime is 20091023. The reversal of 20091000 is 19002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20090977) and next prime (20091023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110910 + ... + 111090.

Almost surely, 220091000 is an apocalyptic number.

20091000 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 20091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32366880).

20091000 is an abundant number, since it is smaller than the sum of its proper divisors (44642760).

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

20091000 is a wasteful number, since it uses less digits than its factorization.

20091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 20091000 is about 4482.2985175019. The cubic root of 20091000 is about 271.8528255134.

The spelling of 20091000 in words is "twenty million, ninety-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 181 185 200 222 250 296 300 362 370 375 444 500 543 555 600 724 740 750 888 905 925 1000 1086 1110 1448 1480 1500 1810 1850 2172 2220 2715 2775 3000 3620 3700 4344 4440 4525 4625 5430 5550 6697 7240 7400 9050 9250 10860 11100 13394 13575 13875 18100 18500 20091 21720 22200 22625 26788 27150 27750 33485 36200 37000 40182 45250 53576 54300 55500 66970 67875 80364 90500 100455 108600 111000 133940 135750 160728 167425 181000 200910 267880 271500 334850 401820 502275 543000 669700 803640 837125 1004550 1339400 1674250 2009100 2511375 3348500 4018200 5022750 6697000 10045500 20091000