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11611960 = 235614759
BaseRepresentation
bin101100010010…
…111100111000
3210211221121121
4230102330320
510433040320
61052515024
7200462053
oct54227470
923757547
1011611960
116611268
123a7ba74
1325374a9
141783a9a
1510458aa
hexb12f38

11611960 has 32 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 4567680.

The previous prime is 11611939. The next prime is 11611981. The reversal of 11611960 is 6911611.

11611960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11611939) and next prime (11611981).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 4819.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 211611960 is an apocalyptic number.

11611960 is a gapful number since it is divisible by the number (10) 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 11611960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

11611960 is an abundant number, since it is smaller than the sum of its proper divisors (14948840).

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

11611960 is a wasteful number, since it uses less digits than its factorization.

11611960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 11611960 is about 3407.6326093052. The cubic root of 11611960 is about 226.4480109777.

The spelling of 11611960 in words is "eleven million, six hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4759 9518 19036 23795 38072 47590 95180 190360 290299 580598 1161196 1451495 2322392 2902990 5805980 11611960