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11051616 = 253197383
BaseRepresentation
bin101010001010…
…001001100000
3202210110222010
4222022021200
510312122431
61032512520
7162636312
oct52121140
922713863
1011051616
116269274
12384b740
13239c424
1416797b2
15e84846
hexa8a260

11051616 has 96 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 3400704.

The previous prime is 11051611. The next prime is 11051629. The reversal of 11051616 is 61615011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110516162 = 244276432422912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11051592 and 11051601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051611) 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, 133111 + ... + 133193.

It is an arithmetic number, because the mean of its divisors is an integer number (326340).

Almost surely, 211051616 is an apocalyptic number.

11051616 is a gapful number since it is divisible by the number (16) 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 11051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

11051616 is an abundant number, since it is smaller than the sum of its proper divisors (20277024).

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

11051616 is a wasteful number, since it uses less digits than its factorization.

11051616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11051616 is about 3324.3970881951. The cubic root of 11051616 is about 222.7453238232.

Adding to 11051616 its reverse (61615011), we get a palindrome (72666627).

The spelling of 11051616 in words is "eleven million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 83 96 114 146 152 166 219 228 249 292 304 332 438 456 498 584 608 664 876 912 996 1168 1328 1387 1577 1752 1824 1992 2336 2656 2774 3154 3504 3984 4161 4731 5548 6059 6308 7008 7968 8322 9462 11096 12118 12616 16644 18177 18924 22192 24236 25232 33288 36354 37848 44384 48472 50464 66576 72708 75696 96944 115121 133152 145416 151392 193888 230242 290832 345363 460484 581664 690726 920968 1381452 1841936 2762904 3683872 5525808 11051616