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1249280 = 212561
BaseRepresentation
bin100110001000000000000
32100110200122
410301000000
5304434110
642435412
713422134
oct4610000
92313618
101249280
1178366a
12502b68
13349826
142473c4
1519a255
hex131000

1249280 has 52 divisors (see below), whose sum is σ = 3047052. Its totient is φ = 491520.

The previous prime is 1249273. The next prime is 1249301. The reversal of 1249280 is 829421.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 1048576 = 448^2 + 1024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20450 + ... + 20510.

21249280 is an apocalyptic number.

1249280 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 1249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523526).

1249280 is an abundant number, since it is smaller than the sum of its proper divisors (1797772).

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

1249280 is an frugal number, since it uses more digits than its factorization.

1249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1249280 is about 1117.7119485807. The cubic root of 1249280 is about 107.7010479562.

The spelling of 1249280 in words is "one million, two hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1024 1220 1280 1952 2048 2440 2560 3904 4096 4880 5120 7808 9760 10240 15616 19520 20480 31232 39040 62464 78080 124928 156160 249856 312320 624640 1249280