Search a number
-
+
11067552 = 253283463
BaseRepresentation
bin101010001110…
…000010100000
3202211021211100
4222032002200
510313130202
61033114400
7163033626
oct52160240
922737740
1011067552
11627a241
123858a00
1323a6762
141681516
15e8941c
hexa8e0a0

11067552 has 72 divisors (see below), whose sum is σ = 31921344. Its totient is φ = 3636864.

The previous prime is 11067547. The next prime is 11067569. The reversal of 11067552 is 25576011.

11067552 is a `hidden beast` number, since 1 + 106 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23673 + ... + 24135.

It is an arithmetic number, because the mean of its divisors is an integer number (443352).

Almost surely, 211067552 is an apocalyptic number.

11067552 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 11067552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960672).

11067552 is an abundant number, since it is smaller than the sum of its proper divisors (20853792).

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

11067552 is a wasteful number, since it uses less digits than its factorization.

11067552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11067552 is about 3326.7930503715. The cubic root of 11067552 is about 222.8523357656.

The spelling of 11067552 in words is "eleven million, sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 463 498 664 747 926 996 1328 1389 1494 1852 1992 2656 2778 2988 3704 3984 4167 5556 5976 7408 7968 8334 11112 11952 14816 16668 22224 23904 33336 38429 44448 66672 76858 115287 133344 153716 230574 307432 345861 461148 614864 691722 922296 1229728 1383444 1844592 2766888 3689184 5533776 11067552