Search a number
-
+
147268040 = 23510313571
BaseRepresentation
bin10001100011100…
…10000111001000
3101021002222202212
420301302013020
5300200034130
622340244252
73435520613
oct1061620710
9337088685
10147268040
1176146727
12413a0688
132468356a
14157b717a
15cddee95
hex8c721c8

147268040 has 32 divisors (see below), whose sum is σ = 331767360. Its totient is φ = 58833600.

The previous prime is 147268039. The next prime is 147268097. The reversal of 147268040 is 40862741.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 147267988 and 147268006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39455 + ... + 43025.

It is an arithmetic number, because the mean of its divisors is an integer number (10367730).

Almost surely, 2147268040 is an apocalyptic number.

147268040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147268040 is an abundant number, since it is smaller than the sum of its proper divisors (184499320).

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

147268040 is a wasteful number, since it uses less digits than its factorization.

147268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 147268040 is about 12135.4044019967. The cubic root of 147268040 is about 528.0837887383.

The spelling of 147268040 in words is "one hundred forty-seven million, two hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1031 2062 3571 4124 5155 7142 8248 10310 14284 17855 20620 28568 35710 41240 71420 142840 3681701 7363402 14726804 18408505 29453608 36817010 73634020 147268040