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11306088 = 2333173079
BaseRepresentation
bin101011001000…
…010001101000
3210021102001000
4223020101220
510343243323
61042155000
7165046233
oct53102150
923242030
1011306088
116422482
123952a60
13245b1c1
14170441a
15ed4e43
hexac8468

11306088 has 64 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 3545856.

The previous prime is 11306081. The next prime is 11306089. The reversal of 11306088 is 88060311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11306081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 211306088 is an apocalyptic number.

11306088 is a gapful number since it is divisible by the number (18) 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 11306088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

11306088 is an abundant number, since it is smaller than the sum of its proper divisors (21957912).

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

11306088 is a wasteful number, since it uses less digits than its factorization.

11306088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11306088 is about 3362.4526762469. The cubic root of 11306088 is about 224.4419950573.

Adding to 11306088 its reverse (88060311), we get a palindrome (99366399).

The spelling of 11306088 in words is "eleven million, three hundred six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3079 3672 6158 9237 12316 18474 24632 27711 36948 52343 55422 73896 83133 104686 110844 157029 166266 209372 221688 314058 332532 418744 471087 628116 665064 942174 1256232 1413261 1884348 2826522 3768696 5653044 11306088