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11330872 = 2373161107
BaseRepresentation
bin101011001110…
…010100111000
3210022200000221
4223032110320
510400041442
61042505424
7165211420
oct53162470
923280027
1011330872
11643a063
123965274
132469577
14170d480
15edc467
hexace538

11330872 has 64 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 4579200.

The previous prime is 11330827. The next prime is 11330899. The reversal of 11330872 is 27803311.

11330872 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11330872 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105843 + ... + 105949.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 211330872 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 11330872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

11330872 is an abundant number, since it is smaller than the sum of its proper divisors (14381768).

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

11330872 is a wasteful number, since it uses less digits than its factorization.

11330872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 11330872 is about 3366.1360637978. The cubic root of 11330872 is about 224.6058746353.

The spelling of 11330872 in words is "eleven million, three hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 31 56 61 62 107 122 124 214 217 244 248 427 428 434 488 749 854 856 868 1498 1708 1736 1891 2996 3317 3416 3782 5992 6527 6634 7564 13054 13237 13268 15128 23219 26108 26474 26536 45689 46438 52216 52948 91378 92876 105896 182756 185752 202337 365512 404674 809348 1416359 1618696 2832718 5665436 11330872