Search a number
-
+
17955972 = 2233166259
BaseRepresentation
bin100010001111…
…1110010000100
31020210020222000
41010133302010
514044042342
61440505300
7305423526
oct104376204
936706860
1017955972
11a154651
12601b230
133948c48
142555a16
15189a44c
hex111fc84

17955972 has 24 divisors (see below), whose sum is σ = 46552800. Its totient is φ = 5985288.

The previous prime is 17955967. The next prime is 17955997. The reversal of 17955972 is 27955971.

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, 83022 + ... + 83237.

It is an arithmetic number, because the mean of its divisors is an integer number (1939700).

Almost surely, 217955972 is an apocalyptic number.

17955972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

17955972 is an abundant number, since it is smaller than the sum of its proper divisors (28596828).

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

17955972 is a wasteful number, since it uses less digits than its factorization.

17955972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166272 (or 166264 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 17955972 is about 4237.4487607522. The cubic root of 17955972 is about 261.8602871835.

Subtracting 17955972 from its reverse (27955971), we obtain a palindrome (9999999).

The spelling of 17955972 in words is "seventeen million, nine hundred fifty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 166259 332518 498777 665036 997554 1496331 1995108 2992662 4488993 5985324 8977986 17955972