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11316552 = 23313192383
BaseRepresentation
bin101011001010…
…110101001000
3210021221101120
4223022311020
510344112202
61042315240
7165121602
oct53126510
923257346
1011316552
11642a325
123958b20
132462bb0
141708172
15ed80bc
hexacad48

11316552 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3117312.

The previous prime is 11316551. The next prime is 11316553. The reversal of 11316552 is 25561311.

It is an interprime number because it is at equal distance from previous prime (11316551) and next prime (11316553).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11316551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 136303 + ... + 136385.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 211316552 is an apocalyptic number.

11316552 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 11316552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11316552 is an abundant number, since it is smaller than the sum of its proper divisors (22552248).

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

11316552 is a wasteful number, since it uses less digits than its factorization.

11316552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 11316552 is about 3364.0083234142. The cubic root of 11316552 is about 224.5112154886.

Adding to 11316552 its reverse (25561311), we get a palindrome (36877863).

The spelling of 11316552 in words is "eleven million, three hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 83 92 104 114 138 152 156 166 184 228 247 249 276 299 312 332 437 456 494 498 552 598 664 741 874 897 988 996 1079 1196 1311 1482 1577 1748 1794 1909 1976 1992 2158 2392 2622 2964 3154 3237 3496 3588 3818 4316 4731 5244 5681 5727 5928 6308 6474 7176 7636 8632 9462 10488 11362 11454 12616 12948 15272 17043 18924 20501 22724 22908 24817 25896 34086 36271 37848 41002 45448 45816 49634 61503 68172 72542 74451 82004 99268 108813 123006 136344 145084 148902 164008 198536 217626 246012 290168 297804 435252 471523 492024 595608 870504 943046 1414569 1886092 2829138 3772184 5658276 11316552