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20923008 = 273232103
BaseRepresentation
bin100111111010…
…0001010000000
31110100222222020
41033310022000
520324014013
62024241440
7342562011
oct117641200
943328866
1020923008
11108a0847
127010280
1344475a2
142ac9008
151c84623
hex13f4280

20923008 has 96 divisors (see below), whose sum is σ = 58662240. Its totient is φ = 6606336.

The previous prime is 20923003. The next prime is 20923033. The reversal of 20923008 is 80032902.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (20923003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203085 + ... + 203187.

It is an arithmetic number, because the mean of its divisors is an integer number (611065).

Almost surely, 220923008 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 20923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331120).

20923008 is an abundant number, since it is smaller than the sum of its proper divisors (37739232).

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

20923008 is a wasteful number, since it uses less digits than its factorization.

20923008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20923008 is about 4574.1674652334. The cubic root of 20923008 is about 275.5548379370.

The spelling of 20923008 in words is "twenty million, nine hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 103 128 138 184 192 206 276 309 368 384 412 529 552 618 736 824 1058 1104 1236 1472 1587 1648 2116 2208 2369 2472 2944 3174 3296 4232 4416 4738 4944 6348 6592 7107 8464 8832 9476 9888 12696 13184 14214 16928 18952 19776 25392 28428 33856 37904 39552 50784 54487 56856 67712 75808 101568 108974 113712 151616 163461 203136 217948 227424 303232 326922 435896 454848 653844 871792 909696 1307688 1743584 2615376 3487168 5230752 6974336 10461504 20923008