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11381960 = 2353167137
BaseRepresentation
bin101011011010…
…110011001000
3210102021010002
4223122303020
510403210320
61043542132
7165513362
oct53326310
923367102
1011381960
116474487
12398a948
1324868b5
141723d32
15eec675
hexadacc8

11381960 has 64 divisors (see below), whose sum is σ = 27025920. Its totient is φ = 4308480.

The previous prime is 11381921. The next prime is 11381963. The reversal of 11381960 is 6918311.

It is a happy number.

11381960 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 (11381963) 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, 83012 + ... + 83148.

It is an arithmetic number, because the mean of its divisors is an integer number (422280).

Almost surely, 211381960 is an apocalyptic number.

11381960 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 11381960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512960).

11381960 is an abundant number, since it is smaller than the sum of its proper divisors (15643960).

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

11381960 is a wasteful number, since it uses less digits than its factorization.

11381960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 11381960 is about 3373.7160520708. The cubic root of 11381960 is about 224.9429320288.

The spelling of 11381960 in words is "eleven million, three hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 137 155 248 268 274 310 335 536 548 620 670 685 1096 1240 1340 1370 2077 2680 2740 4154 4247 5480 8308 8494 9179 10385 16616 16988 18358 20770 21235 33976 36716 41540 42470 45895 73432 83080 84940 91790 169880 183580 284549 367160 569098 1138196 1422745 2276392 2845490 5690980 11381960