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11048380 = 2257531489
BaseRepresentation
bin101010001001…
…010110111100
3202210022112021
4222021112330
510312022010
61032445524
7162624010
oct52112674
922708467
1011048380
1162668a2
1238498a4
13239ab05
141678540
15e838da
hexa895bc

11048380 has 48 divisors (see below), whose sum is σ = 27034560. Its totient is φ = 3714048.

The previous prime is 11048363. The next prime is 11048383. The reversal of 11048380 is 8384011.

11048380 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 (11048383) 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, 6676 + ... + 8164.

It is an arithmetic number, because the mean of its divisors is an integer number (563220).

Almost surely, 211048380 is an apocalyptic number.

11048380 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 11048380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517280).

11048380 is an abundant number, since it is smaller than the sum of its proper divisors (15986180).

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

11048380 is a wasteful number, since it uses less digits than its factorization.

11048380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11048380 is about 3323.9103477681. The cubic root of 11048380 is about 222.7235811739.

The spelling of 11048380 in words is "eleven million, forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1489 1855 2978 3710 5956 7420 7445 10423 14890 20846 29780 41692 52115 78917 104230 157834 208460 315668 394585 552419 789170 1104838 1578340 2209676 2762095 5524190 11048380