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11291896 = 2371123797
BaseRepresentation
bin101011000100…
…110011111000
3210020200120101
4223010303320
510342320041
61042005144
7164656660
oct53046370
923220511
1011291896
116412850
1239467b4
1324548c5
1416dd1a0
15ed0b31
hexac4cf8

11291896 has 64 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4202880.

The previous prime is 11291887. The next prime is 11291897. The reversal of 11291896 is 69819211.

11291896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11291897) 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, 13770 + ... + 14566.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 211291896 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 11291896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

11291896 is an abundant number, since it is smaller than the sum of its proper divisors (16286984).

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

11291896 is a wasteful number, since it uses less digits than its factorization.

11291896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its digits is 7776, while the sum is 37.

The square root of 11291896 is about 3360.3416492970. The cubic root of 11291896 is about 224.3480452460.

It can be divided in two parts, 1129 and 1896, that added together give a square (3025 = 552).

The spelling of 11291896 in words is "eleven million, two hundred ninety-one thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 797 1012 1288 1594 1771 2024 3188 3542 5579 6376 7084 8767 11158 14168 17534 18331 22316 35068 36662 44632 61369 70136 73324 122738 128317 146648 201641 245476 256634 403282 490952 513268 806564 1026536 1411487 1613128 2822974 5645948 11291896