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20454768 = 24355261
BaseRepresentation
bin100111000000…
…1110101110000
31102111012200000
41032001311300
520214023033
62010230000
7335601615
oct116016560
942435600
1020454768
1110600a74
126a25300
134312419
142a0650c
151be0a13
hex1381d70

20454768 has 60 divisors (see below), whose sum is σ = 59376408. Its totient is φ = 6816960.

The previous prime is 20454739. The next prime is 20454803. The reversal of 20454768 is 86745402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1258 + ... + 6518.

Almost surely, 220454768 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 20454768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29688204).

20454768 is an abundant number, since it is smaller than the sum of its proper divisors (38921640).

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

20454768 is an equidigital number, since it uses as much as digits as its factorization.

20454768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 20454768 is about 4522.6947719253. The cubic root of 20454768 is about 273.4837456236.

The spelling of 20454768 in words is "twenty million, four hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 5261 10522 15783 21044 31566 42088 47349 63132 84176 94698 126264 142047 189396 252528 284094 378792 426141 568188 757584 852282 1136376 1278423 1704564 2272752 2556846 3409128 5113692 6818256 10227384 20454768