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166021460 = 225113132411
BaseRepresentation
bin10011110010101…
…00100101010100
3102120101202121222
421321110211110
5320000141320
624250225512
74054105403
oct1171244524
9376352558
10166021460
1185795420
1247725298
132851b467
141809963a
15e896825
hex9e54954

166021460 has 48 divisors (see below), whose sum is σ = 381713472. Its totient is φ = 60153600.

The previous prime is 166021403. The next prime is 166021463. The reversal of 166021460 is 64120661.

It is a happy number.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166021463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67655 + ... + 70065.

It is an arithmetic number, because the mean of its divisors is an integer number (7952364).

Almost surely, 2166021460 is an apocalyptic number.

166021460 is a gapful number since it is divisible by the number (10) 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 166021460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190856736).

166021460 is an abundant number, since it is smaller than the sum of its proper divisors (215692012).

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

166021460 is a wasteful number, since it uses less digits than its factorization.

166021460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 166021460 is about 12884.9315093251. The cubic root of 166021460 is about 549.6101479721.

The spelling of 166021460 in words is "one hundred sixty-six million, twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 2411 3130 3443 4822 6260 6886 9644 12055 13772 17215 24110 26521 34430 48220 53042 68860 106084 132605 265210 530420 754643 1509286 3018572 3773215 7546430 8301073 15092860 16602146 33204292 41505365 83010730 166021460