Search a number
-
+
147064000 = 265331593
BaseRepresentation
bin10001100010000…
…00010011000000
3101020201121212211
420301000103000
5300122022000
622332031504
73434011006
oct1061002300
9336647784
10147064000
11760173a6
1241302594
1324611725
1415762a76
15cd9e7ba
hex8c404c0

147064000 has 112 divisors (see below), whose sum is σ = 376586496. Its totient is φ = 56832000.

The previous prime is 147063977. The next prime is 147064003. The reversal of 147064000 is 460741.

It is not an unprimeable number, because it can be changed into a prime (147064003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 247704 + ... + 248296.

Almost surely, 2147064000 is an apocalyptic number.

147064000 is a gapful number since it is divisible by the number (10) 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 147064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

147064000 is an abundant number, since it is smaller than the sum of its proper divisors (229522496).

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

147064000 is an equidigital number, since it uses as much as digits as its factorization.

147064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 147064000 is about 12126.9946812885. The cubic root of 147064000 is about 527.8397891639.

The spelling of 147064000 in words is "one hundred forty-seven million, sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 593 620 775 800 992 1000 1186 1240 1550 1600 1984 2000 2372 2480 2965 3100 3875 4000 4744 4960 5930 6200 7750 8000 9488 9920 11860 12400 14825 15500 18383 18976 23720 24800 29650 31000 36766 37952 47440 49600 59300 62000 73532 74125 91915 94880 118600 124000 147064 148250 183830 189760 237200 248000 294128 296500 367660 459575 474400 588256 593000 735320 919150 948800 1176512 1186000 1470640 1838300 2297875 2372000 2941280 3676600 4595750 4744000 5882560 7353200 9191500 14706400 18383000 29412800 36766000 73532000 147064000