Search a number
-
+
11075904 = 263274167
BaseRepresentation
bin101010010000…
…000101000000
3202211201021200
4222100011000
510313412104
61033221200
7163100160
oct52200500
922751250
1011075904
116285544
123861800
1323aa4b8
1416845a0
15e8bb39
hexa90140

11075904 has 168 divisors, whose sum is σ = 37722048. Its totient is φ = 3041280.

The previous prime is 11075881. The next prime is 11075923. The reversal of 11075904 is 40957011.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165279 + ... + 165345.

It is an arithmetic number, because the mean of its divisors is an integer number (224536).

Almost surely, 211075904 is an apocalyptic number.

11075904 is a gapful number since it is divisible by the number (14) 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 11075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861024).

11075904 is an abundant number, since it is smaller than the sum of its proper divisors (26646144).

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

11075904 is a wasteful number, since it uses less digits than its factorization.

11075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11075904 is about 3328.0480765758. The cubic root of 11075904 is about 222.9083793156.

The spelling of 11075904 in words is "eleven million, seventy-five thousand, nine hundred four".