Search a number
-
+
146808064 = 2813311423
BaseRepresentation
bin10001100000000…
…01110100000000
3101020020121210201
420300001310000
5300040324224
622322334544
73431563564
oct1060016400
9336217721
10146808064
1175962087
12411ba454
13245520a0
14156d76a4
15cd4da44
hex8c01d00

146808064 has 72 divisors (see below), whose sum is σ = 325993472. Its totient is φ = 65525760.

The previous prime is 146808059. The next prime is 146808083. The reversal of 146808064 is 460808641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102457 + ... + 103879.

Almost surely, 2146808064 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 146808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162996736).

146808064 is an abundant number, since it is smaller than the sum of its proper divisors (179185408).

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

146808064 is a wasteful number, since it uses less digits than its factorization.

146808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 146808064 is about 12116.4377603320. The cubic root of 146808064 is about 527.5334108799.

The spelling of 146808064 in words is "one hundred forty-six million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1423 1612 1664 1984 2846 3224 3328 3968 5692 6448 7936 11384 12896 18499 22768 25792 36998 44113 45536 51584 73996 88226 91072 103168 147992 176452 182144 295984 352904 364288 573469 591968 705808 1146938 1183936 1411616 2293876 2367872 2823232 4587752 4735744 5646464 9175504 11292928 18351008 36702016 73404032 146808064