Search a number
-
+
146261864 = 2372794723
BaseRepresentation
bin10001011011111…
…00011101101000
3101012012212120002
420231330131220
5244420334424
622302522132
73424130300
oct1055743550
9335185502
10146261864
1175619781
1240b96348
13243c05a8
14155d4600
15cc91cae
hex8b7c768

146261864 has 48 divisors (see below), whose sum is σ = 323121600. Its totient is φ = 61877088.

The previous prime is 146261839. The next prime is 146261881. The reversal of 146261864 is 468162641.

146261864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28607 + ... + 33329.

It is an arithmetic number, because the mean of its divisors is an integer number (6731700).

Almost surely, 2146261864 is an apocalyptic number.

146261864 is a gapful number since it is divisible by the number (14) 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 146261864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161560800).

146261864 is an abundant number, since it is smaller than the sum of its proper divisors (176859736).

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

146261864 is a wasteful number, since it uses less digits than its factorization.

146261864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4811 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 146261864 is about 12093.8771285308. The cubic root of 146261864 is about 526.8783677756.

The spelling of 146261864 in words is "one hundred forty-six million, two hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 316 392 553 632 1106 2212 3871 4424 4723 7742 9446 15484 18892 30968 33061 37784 66122 132244 231427 264488 373117 462854 746234 925708 1492468 1851416 2611819 2984936 5223638 10447276 18282733 20894552 36565466 73130932 146261864