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20963040 = 2535717367
BaseRepresentation
bin100111111110…
…1111011100000
31110110000212220
41033331323200
520331304130
62025151040
7343116510
oct117757340
943400786
1020963040
111091892a
12702b480
13445c887
142ad9840
151c91410
hex13fdee0

20963040 has 192 divisors, whose sum is σ = 80123904. Its totient is φ = 4497408.

The previous prime is 20963039. The next prime is 20963069. The reversal of 20963040 is 4036902.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20963040.

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, 56937 + ... + 57303.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 220963040 is an apocalyptic number.

20963040 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 20963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40061952).

20963040 is an abundant number, since it is smaller than the sum of its proper divisors (59160864).

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

20963040 is a wasteful number, since it uses less digits than its factorization.

20963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20963040 is about 4578.5412524078. The cubic root of 20963040 is about 275.7304657041.

Adding to 20963040 its reverse (4036902), we get a palindrome (24999942).

The spelling of 20963040 in words is "twenty million, nine hundred sixty-three thousand, forty".