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11087472 = 2431122383
BaseRepresentation
bin101010010010…
…111001110000
3202212022011010
4222102321300
510314244342
61033350520
7163145664
oct52227160
922768133
1011087472
116293200
123868440
1323b2846
1416888a4
15e9029c
hexa92e70

11087472 has 120 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 3175040.

The previous prime is 11087471. The next prime is 11087473. The reversal of 11087472 is 27478011.

It is an interprime number because it is at equal distance from previous prime (11087471) and next prime (11087473).

It is a super-3 number, since 3×110874723 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11087471) 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 23 ways as a sum of consecutive naturals, for example, 133543 + ... + 133625.

Almost surely, 211087472 is an apocalyptic number.

11087472 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 11087472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

11087472 is an abundant number, since it is smaller than the sum of its proper divisors (22160400).

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

11087472 is a wasteful number, since it uses less digits than its factorization.

11087472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 11087472 is about 3329.7855786822. The cubic root of 11087472 is about 222.9859563371.

The spelling of 11087472 in words is "eleven million, eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 83 88 92 121 132 138 166 176 184 242 249 253 264 276 332 363 368 484 498 506 528 552 664 726 759 913 968 996 1012 1104 1328 1452 1518 1826 1909 1936 1992 2024 2739 2783 2904 3036 3652 3818 3984 4048 5478 5566 5727 5808 6072 7304 7636 8349 10043 10956 11132 11454 12144 14608 15272 16698 20086 20999 21912 22264 22908 30129 30544 33396 40172 41998 43824 44528 45816 60258 62997 66792 80344 83996 91632 120516 125994 133584 160688 167992 230989 241032 251988 335984 461978 482064 503976 692967 923956 1007952 1385934 1847912 2771868 3695824 5543736 11087472