[go: up one dir, main page]

Search a number
-
+
170147072 = 283671811
BaseRepresentation
bin10100010010000…
…11110100000000
3102212011100220102
422021003310000
5322024201242
624514501532
74134140414
oct1211036400
9385140812
10170147072
1188053017
1248b948a8
1329334254
1418850d44
15ee0de32
hexa243d00

170147072 has 36 divisors (see below), whose sum is σ = 340742976. Its totient is φ = 84794880.

The previous prime is 170147017. The next prime is 170147083. The reversal of 170147072 is 270741071.

170147072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1701470722 = 57900052220346368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93047 + ... + 94857.

Almost surely, 2170147072 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 170147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170371488).

170147072 is an abundant number, since it is smaller than the sum of its proper divisors (170595904).

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

170147072 is an equidigital number, since it uses as much as digits as its factorization.

170147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 170147072 is about 13044.0435448522. The cubic root of 170147072 is about 554.1255303389.

The spelling of 170147072 in words is "one hundred seventy million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 367 734 1468 1811 2936 3622 5872 7244 11744 14488 23488 28976 46976 57952 93952 115904 231808 463616 664637 1329274 2658548 5317096 10634192 21268384 42536768 85073536 170147072