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20901312 = 2632131277
BaseRepresentation
bin100111110111…
…0110111000000
31110022220012200
41033232313000
520322320222
62023553200
7342441525
oct117566700
943286180
1020901312
1110886513
126bbb800
13443a753
142ac114c
151c7ceac
hex13eedc0

20901312 has 84 divisors (see below), whose sum is σ = 60585096. Its totient is φ = 6888960.

The previous prime is 20901301. The next prime is 20901329. The reversal of 20901312 is 21310902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75318 + ... + 75594.

Almost surely, 220901312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30292548).

20901312 is an abundant number, since it is smaller than the sum of its proper divisors (39683784).

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

20901312 is a wasteful number, since it uses less digits than its factorization.

20901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20901312 is about 4571.7952710068. The cubic root of 20901312 is about 275.4595599637.

The spelling of 20901312 in words is "twenty million, nine hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 277 288 393 524 554 576 786 831 1048 1108 1179 1572 1662 2096 2216 2358 2493 3144 3324 4192 4432 4716 4986 6288 6648 8384 8864 9432 9972 12576 13296 17728 18864 19944 25152 26592 36287 37728 39888 53184 72574 75456 79776 108861 145148 159552 217722 290296 326583 435444 580592 653166 870888 1161184 1306332 1741776 2322368 2612664 3483552 5225328 6967104 10450656 20901312