Search a number
-
+
17153164 = 227612613
BaseRepresentation
bin100000101101…
…1110010001100
31012021110201101
41001123302030
513342400124
61411352444
7265541140
oct101336214
935243641
1017153164
119756476
1258b2724
133727702
1423c7220
15178c644
hex105bc8c

17153164 has 12 divisors (see below), whose sum is σ = 34306384. Its totient is φ = 7351344.

The previous prime is 17153159. The next prime is 17153177. The reversal of 17153164 is 46135171.

17153164 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 612613 = 17153164 / (1 + 7 + 1 + 5 + 3 + 1 + 6 + 4).

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 3 ways as a sum of consecutive naturals, for example, 306279 + ... + 306334.

Almost surely, 217153164 is an apocalyptic number.

17153164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

17153164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

17153164 is a wasteful number, since it uses less digits than its factorization.

17153164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612624 (or 612622 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 17153164 is about 4141.6378402753. The cubic root of 17153164 is about 257.8980628081.

It can be divided in two parts, 171 and 53164, that added together give a palindrome (53335).

The spelling of 17153164 in words is "seventeen million, one hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 612613 1225226 2450452 4288291 8576582 17153164