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20631936 = 273134133
BaseRepresentation
bin100111010110…
…1000110000000
31102211012200210
41032231012000
520240210221
62014114120
7340240263
oct116550600
942735623
1020631936
1110712096
126aab940
134374c60
142a50cda
151c28276
hex13ad180

20631936 has 64 divisors (see below), whose sum is σ = 59033520. Its totient is φ = 6346752.

The previous prime is 20631911. The next prime is 20631937. The reversal of 20631936 is 63913602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20631937) 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, 2926 + ... + 7058.

Almost surely, 220631936 is an apocalyptic number.

20631936 is a gapful number since it is divisible by the number (26) 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 20631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516760).

20631936 is an abundant number, since it is smaller than the sum of its proper divisors (38401584).

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

20631936 is a wasteful number, since it uses less digits than its factorization.

20631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 20631936 is about 4542.2390954242. The cubic root of 20631936 is about 274.2710656859.

The spelling of 20631936 in words is "twenty million, six hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4133 4992 8266 12399 16532 24798 33064 49596 53729 66128 99192 107458 132256 161187 198384 214916 264512 322374 396768 429832 529024 644748 793536 859664 1289496 1587072 1719328 2578992 3438656 5157984 6877312 10315968 20631936