Search a number
-
+
146813064 = 23333118481
BaseRepresentation
bin10001100000000…
…11000010001000
3101020020212122220
420300003002020
5300041004224
622322414040
73431614266
oct1060030210
9336225586
10146813064
1175965912
1241201320
1324554448
14156d9436
15cd50279
hex8c03088

146813064 has 32 divisors (see below), whose sum is σ = 368161440. Its totient is φ = 48787200.

The previous prime is 146813041. The next prime is 146813083. The reversal of 146813064 is 460318641.

It is a super-2 number, since 2×1468130642 = 43108151522136192, which contains 22 as substring.

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, 1297 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (11505045).

Almost surely, 2146813064 is an apocalyptic number.

It is an amenable number.

146813064 is an abundant number, since it is smaller than the sum of its proper divisors (221348376).

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

146813064 is a wasteful number, since it uses less digits than its factorization.

146813064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18821 (or 18817 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146813064 is about 12116.6440898460. The cubic root of 146813064 is about 527.5393997360.

The spelling of 146813064 in words is "one hundred forty-six million, eight hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1986 2648 3972 7944 18481 36962 55443 73924 110886 147848 221772 443544 6117211 12234422 18351633 24468844 36703266 48937688 73406532 146813064