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11315172 = 22311233727
BaseRepresentation
bin101011001010…
…011111100100
3210021212111110
4223022133210
510344041142
61042305020
7165114561
oct53123744
923255443
1011315172
116429290
123958170
13246238b
141707868
15ed799c
hexaca7e4

11315172 has 48 divisors (see below), whose sum is σ = 30062592. Its totient is φ = 3278880.

The previous prime is 11315167. The next prime is 11315177. The reversal of 11315172 is 27151311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11315167) and next prime (11315177).

It is not an unprimeable number, because it can be changed into a prime (11315177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (626304).

Almost surely, 211315172 is an apocalyptic number.

11315172 is a gapful number since it is divisible by the number (12) 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 11315172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031296).

11315172 is an abundant number, since it is smaller than the sum of its proper divisors (18747420).

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

11315172 is a wasteful number, since it uses less digits than its factorization.

11315172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3766 counting only the distinct ones).

The product of its digits is 210, while the sum is 21.

The square root of 11315172 is about 3363.8032047074. The cubic root of 11315172 is about 224.5020890906.

Adding to 11315172 its reverse (27151311), we get a palindrome (38466483).

The spelling of 11315172 in words is "eleven million, three hundred fifteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3727 7454 11181 14908 22362 40997 44724 81994 85721 122991 163988 171442 245982 257163 342884 491964 514326 942931 1028652 1885862 2828793 3771724 5657586 11315172