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146100066 = 2372677417
BaseRepresentation
bin10001011010101…
…00111101100010
3101011220122121120
420231110331202
5244400200231
622255233110
73422554500
oct1055247542
9334818546
10146100066
1175519162
1240b18796
1324364a58
1415591670
15cc5dd96
hex8b54f62

146100066 has 48 divisors (see below), whose sum is σ = 345026016. Its totient is φ = 41114304.

The previous prime is 146100061. The next prime is 146100077. The reversal of 146100066 is 660001641.

146100066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146100061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15990 + ... + 23406.

It is an arithmetic number, because the mean of its divisors is an integer number (7188042).

Almost surely, 2146100066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146100066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172513008).

146100066 is an abundant number, since it is smaller than the sum of its proper divisors (198925950).

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

146100066 is a wasteful number, since it uses less digits than its factorization.

146100066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7496 counting only the distinct ones).

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

The square root of 146100066 is about 12087.1860248778. The cubic root of 146100066 is about 526.6840147217.

The spelling of 146100066 in words is "one hundred forty-six million, one hundred thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1407 2814 3283 6566 7417 9849 14834 19698 22251 44502 51919 103838 155757 311514 363433 496939 726866 993878 1090299 1490817 2180598 2981634 3478573 6957146 10435719 20871438 24350011 48700022 73050033 146100066