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11048880 = 2435192423
BaseRepresentation
bin101010001001…
…011110110000
3202210100012210
4222021132300
510312031010
61032452120
7162625323
oct52113660
922710183
1011048880
116267207
12384a040
13239b0cb
1416787ba
15e83b20
hexa897b0

11048880 has 80 divisors (see below), whose sum is σ = 36069120. Its totient is φ = 2790144.

The previous prime is 11048879. The next prime is 11048923. The reversal of 11048880 is 8884011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349 + ... + 5771.

It is an arithmetic number, because the mean of its divisors is an integer number (450864).

Almost surely, 211048880 is an apocalyptic number.

11048880 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 11048880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034560).

11048880 is an abundant number, since it is smaller than the sum of its proper divisors (25020240).

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

11048880 is a wasteful number, since it uses less digits than its factorization.

11048880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 11048880 is about 3323.9855595354. The cubic root of 11048880 is about 222.7269409458.

The spelling of 11048880 in words is "eleven million, forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2423 4560 4846 7269 9692 12115 14538 19384 24230 29076 36345 38768 46037 48460 58152 72690 92074 96920 116304 138111 145380 184148 193840 230185 276222 290760 368296 460370 552444 581520 690555 736592 920740 1104888 1381110 1841480 2209776 2762220 3682960 5524440 11048880