Search a number
-
+
122160320 = 265419311
BaseRepresentation
bin1110100100000…
…00010011000000
322111212101110022
413102000103000
5222233112240
620042153012
73012226352
oct722002300
9274771408
10122160320
1162a57947
1234ab2768
131c402319
141231d0d2
15aad09b5
hex74804c0

122160320 has 56 divisors (see below), whose sum is σ = 298021248. Its totient is φ = 47667200.

The previous prime is 122160319. The next prime is 122160331. The reversal of 122160320 is 23061221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8465 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (5321808).

Almost surely, 2122160320 is an apocalyptic number.

122160320 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 122160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149010624).

122160320 is an abundant number, since it is smaller than the sum of its proper divisors (175860928).

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

122160320 is an equidigital number, since it uses as much as digits as its factorization.

122160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 122160320 is about 11052.6159799389. The cubic root of 122160320 is about 496.1847213463.

Subtracting from 122160320 its reverse (23061221), we obtain a palindrome (99099099).

The spelling of 122160320 in words is "one hundred twenty-two million, one hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 9311 13120 18622 37244 46555 74488 93110 148976 186220 297952 372440 381751 595904 744880 763502 1489760 1527004 1908755 2979520 3054008 3817510 6108016 7635020 12216032 15270040 24432064 30540080 61080160 122160320