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11720916 = 2233412647
BaseRepresentation
bin101100101101…
…100011010100
3211001111002000
4230231203110
511000032131
61055115300
7201424524
oct54554324
924044060
1011720916
116686109
123b12b30
132574c6c
1417b1684
151067ce6
hexb2d8d4

11720916 has 48 divisors (see below), whose sum is σ = 31140480. Its totient is φ = 3810240.

The previous prime is 11720903. The next prime is 11720977. The reversal of 11720916 is 61902711.

11720916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11720916.

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, 3105 + ... + 5751.

It is an arithmetic number, because the mean of its divisors is an integer number (648760).

Almost surely, 211720916 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 11720916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570240).

11720916 is an abundant number, since it is smaller than the sum of its proper divisors (19419564).

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

11720916 is a wasteful number, since it uses less digits than its factorization.

11720916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11720916 is about 3423.5823343393. The cubic root of 11720916 is about 227.1540674933.

The spelling of 11720916 in words is "eleven million, seven hundred twenty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 2647 4428 5294 7941 10588 15882 23823 31764 47646 71469 95292 108527 142938 217054 285876 325581 434108 651162 976743 1302324 1953486 2930229 3906972 5860458 11720916