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146201660 = 225111135881
BaseRepresentation
bin10001011011011…
…01110000111100
3101012002210222022
420231231300330
5244411423120
622301335312
73423456623
oct1055556074
9335083868
10146201660
1175588520
1240b67538
132439c077
14155ba6ba
15cc7e025
hex8b6dc3c

146201660 has 48 divisors (see below), whose sum is σ = 337956192. Its totient is φ = 52684800.

The previous prime is 146201659. The next prime is 146201663. The reversal of 146201660 is 66102641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146201663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21920 + ... + 27800.

It is an arithmetic number, because the mean of its divisors is an integer number (7040754).

Almost surely, 2146201660 is an apocalyptic number.

146201660 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 146201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168978096).

146201660 is an abundant number, since it is smaller than the sum of its proper divisors (191754532).

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

146201660 is a wasteful number, since it uses less digits than its factorization.

146201660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6012 counting only the distinct ones).

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

The square root of 146201660 is about 12091.3878442468. The cubic root of 146201660 is about 526.8060670004.

The spelling of 146201660 in words is "one hundred forty-six million, two hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 5881 6215 11762 12430 23524 24860 29405 58810 64691 117620 129382 258764 323455 646910 664553 1293820 1329106 2658212 3322765 6645530 7310083 13291060 14620166 29240332 36550415 73100830 146201660