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11372088 = 23371341127
BaseRepresentation
bin101011011000…
…011000111000
3210101202120110
4223120120320
510402401323
61043424320
7165442530
oct53303070
923352513
1011372088
116468022
1239850a0
132482260
1417204c0
15ee9793
hexad8638

11372088 has 128 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 2903040.

The previous prime is 11372087. The next prime is 11372117. The reversal of 11372088 is 88027311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11372083) 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, 89481 + ... + 89607.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 211372088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11372088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

11372088 is an abundant number, since it is smaller than the sum of its proper divisors (24754632).

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

11372088 is a wasteful number, since it uses less digits than its factorization.

11372088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 11372088 is about 3372.2526595734. The cubic root of 11372088 is about 224.8778794091.

Adding to 11372088 its reverse (88027311), we get a palindrome (99399399).

The spelling of 11372088 in words is "eleven million, three hundred seventy-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 127 156 164 168 182 246 254 273 287 312 328 364 381 492 508 533 546 574 728 762 861 889 984 1016 1066 1092 1148 1524 1599 1651 1722 1778 2132 2184 2296 2667 3048 3198 3302 3444 3556 3731 4264 4953 5207 5334 6396 6604 6888 7112 7462 9906 10414 10668 11193 11557 12792 13208 14924 15621 19812 20828 21336 22386 23114 29848 31242 34671 36449 39624 41656 44772 46228 62484 67691 69342 72898 89544 92456 109347 124968 135382 138684 145796 203073 218694 270764 277368 291592 406146 437388 473837 541528 812292 874776 947674 1421511 1624584 1895348 2843022 3790696 5686044 11372088