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146000864 = 2519439547
BaseRepresentation
bin10001011001111…
…00101111100000
3101011201121112102
420230330233200
5244334011424
622253145532
73421662332
oct1054745740
9334647472
10146000864
1175460679
1240a8b2a8
132432b859
1415567452
15cc3e7ae
hex8b3cbe0

146000864 has 48 divisors (see below), whose sum is σ = 303811200. Its totient is φ = 68874624.

The previous prime is 146000863. The next prime is 146000873. The reversal of 146000864 is 468000641.

146000864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146000863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266639 + ... + 267185.

It is an arithmetic number, because the mean of its divisors is an integer number (6329400).

Almost surely, 2146000864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151905600).

146000864 is an abundant number, since it is smaller than the sum of its proper divisors (157810336).

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

146000864 is a wasteful number, since it uses less digits than its factorization.

146000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 146000864 is about 12083.0817261161. The cubic root of 146000864 is about 526.5647815162.

The spelling of 146000864 in words is "one hundred forty-six million, eight hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 32 38 76 152 304 439 547 608 878 1094 1756 2188 3512 4376 7024 8341 8752 10393 14048 16682 17504 20786 33364 41572 66728 83144 133456 166288 240133 266912 332576 480266 960532 1921064 3842128 4562527 7684256 9125054 18250108 36500216 73000432 146000864