Search a number
-
+
146606328 = 23331161703
BaseRepresentation
bin10001011110100…
…00100011111000
3101012212101002000
420233100203320
5300012400303
622314141000
73430063461
oct1057204370
9335771060
10146606328
1175834560
1241121760
13244b130b
1415683d68
15cd0dda3
hex8bd08f8

146606328 has 64 divisors (see below), whose sum is σ = 444268800. Its totient is φ = 44425440.

The previous prime is 146606309. The next prime is 146606377. The reversal of 146606328 is 823606641.

146606328 is a `hidden beast` number, since 1 + 46 + 606 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146606292 and 146606301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28476 + ... + 33227.

It is an arithmetic number, because the mean of its divisors is an integer number (6941700).

Almost surely, 2146606328 is an apocalyptic number.

146606328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146606328 is an abundant number, since it is smaller than the sum of its proper divisors (297662472).

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

146606328 is a wasteful number, since it uses less digits than its factorization.

146606328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61729 (or 61719 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146606328 is about 12108.1100094110. The cubic root of 146606328 is about 527.2916637958.

The spelling of 146606328 in words is "one hundred forty-six million, six hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 61703 123406 185109 246812 370218 493624 555327 678733 740436 1110654 1357466 1480872 1665981 2036199 2221308 2714932 3331962 4072398 4442616 5429864 6108597 6663924 8144796 12217194 13327848 16289592 18325791 24434388 36651582 48868776 73303164 146606328