Search a number
-
+
20963232 = 2533191277
BaseRepresentation
bin100111111110…
…1111110100000
31110110001011000
41033331332200
520331310412
62025152000
7343120203
oct117757640
943401130
1020963232
1110918a94
12702b600
13445c9a4
142ad993a
151c914dc
hex13fdfa0

20963232 has 96 divisors (see below), whose sum is σ = 64411200. Its totient is φ = 6614784.

The previous prime is 20963219. The next prime is 20963273. The reversal of 20963232 is 23236902.

20963232 is a `hidden beast` number, since 20 + 9 + 632 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20963196 and 20963205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15778 + ... + 17054.

It is an arithmetic number, because the mean of its divisors is an integer number (670950).

Almost surely, 220963232 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 20963232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205600).

20963232 is an abundant number, since it is smaller than the sum of its proper divisors (43447968).

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

20963232 is a wasteful number, since it uses less digits than its factorization.

20963232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20963232 is about 4578.5622197367. The cubic root of 20963232 is about 275.7313075045.

The spelling of 20963232 in words is "twenty million, nine hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1277 1368 1824 2052 2554 2736 3831 4104 5108 5472 7662 8208 10216 11493 15324 16416 20432 22986 24263 30648 34479 40864 45972 48526 61296 68958 72789 91944 97052 122592 137916 145578 183888 194104 218367 275832 291156 367776 388208 436734 551664 582312 655101 776416 873468 1103328 1164624 1310202 1746936 2329248 2620404 3493872 5240808 6987744 10481616 20963232