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146884014 = 23229231313
BaseRepresentation
bin10001100000101…
…00010110101110
3101020101110222200
420300110112232
5300100242024
622324122330
73432331164
oct1060242656
9336343880
10146884014
1175a04152
12412363a6
132457a824
1415717234
15cd662c9
hex8c145ae

146884014 has 72 divisors (see below), whose sum is σ = 341320512. Its totient is φ = 45601920.

The previous prime is 146884013. The next prime is 146884037. The reversal of 146884014 is 410488641.

It is a self number, because there is not a number n which added to its sum of digits gives 146884014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146884013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469122 + ... + 469434.

Almost surely, 2146884014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146884014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170660256).

146884014 is an abundant number, since it is smaller than the sum of its proper divisors (194436498).

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

146884014 is a wasteful number, since it uses less digits than its factorization.

146884014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 146884014 is about 12119.5715270797. The cubic root of 146884014 is about 527.6243669535.

The spelling of 146884014 in words is "one hundred forty-six million, eight hundred eighty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 313 522 558 626 841 899 939 1682 1798 1878 2523 2697 2817 5046 5394 5634 7569 8091 9077 9703 15138 16182 18154 19406 26071 27231 29109 52142 54462 58218 78213 81693 87327 156426 163386 174654 234639 263233 281387 469278 526466 562774 789699 844161 1579398 1688322 2369097 2532483 4738194 5064966 8160223 16320446 24480669 48961338 73442007 146884014