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20168460 = 2233513317
BaseRepresentation
bin100110011101…
…1111100001100
31101221122221000
41030323330030
520130342320
62000140300
7333300114
oct114737414
941848830
1020168460
1110425954
126907690
134242000
142970044
151b85c90
hex133bf0c

20168460 has 192 divisors, whose sum is σ = 71971200. Its totient is φ = 4672512.

The previous prime is 20168459. The next prime is 20168497. The reversal of 20168460 is 6486102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186372 + ... + 1186388.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 220168460 is an apocalyptic number.

20168460 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 20168460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

20168460 is an abundant number, since it is smaller than the sum of its proper divisors (51802740).

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

20168460 is a wasteful number, since it uses less digits than its factorization.

20168460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20168460 is about 4490.9308611913. The cubic root of 20168460 is about 272.2017498294.

The spelling of 20168460 in words is "twenty million, one hundred sixty-eight thousand, four hundred sixty".