Search a number
-
+
11976940 = 2255311299
BaseRepresentation
bin101101101100…
…000011101100
3211112111021101
4231230003230
511031230230
61104412444
7203542123
oct55540354
924474241
1011976940
1168404a8
124017124
132634661
14183aaba
1510b8aca
hexb6c0ec

11976940 has 24 divisors (see below), whose sum is σ = 25628400. Its totient is φ = 4699968.

The previous prime is 11976911. The next prime is 11976947. The reversal of 11976940 is 4967911.

11976940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11976940.

It is not an unprimeable number, because it can be changed into a prime (11976947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4590 + ... + 6709.

It is an arithmetic number, because the mean of its divisors is an integer number (1067850).

Almost surely, 211976940 is an apocalyptic number.

11976940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11976940 is an abundant number, since it is smaller than the sum of its proper divisors (13651460).

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

11976940 is a wasteful number, since it uses less digits than its factorization.

11976940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11361 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 11976940 is about 3460.7715902671. The cubic root of 11976940 is about 228.7961038589.

The spelling of 11976940 in words is "eleven million, nine hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 11299 22598 45196 56495 112990 225980 598847 1197694 2395388 2994235 5988470 11976940