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1117480 = 235713307
BaseRepresentation
bin100010000110100101000
32002202220011
410100310220
5241224410
635541304
712332650
oct4206450
92082804
101117480
116a3641
1245a834
13301840
14211360
1517118a
hex110d28

1117480 has 64 divisors (see below), whose sum is σ = 3104640. Its totient is φ = 352512.

The previous prime is 1117477. The next prime is 1117481. The reversal of 1117480 is 847111.

1117480 = T109 + T110 + ... + T199.

It is not an unprimeable number, because it can be changed into a prime (1117481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3487 + ... + 3793.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

21117480 is an apocalyptic number.

1117480 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 1117480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320).

1117480 is an abundant number, since it is smaller than the sum of its proper divisors (1987160).

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

1117480 is a wasteful number, since it uses less digits than its factorization.

1117480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 1117480 is about 1057.1092658756. The cubic root of 1117480 is about 103.7719361368.

The spelling of 1117480 in words is "one million, one hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 307 364 455 520 614 728 910 1228 1535 1820 2149 2456 3070 3640 3991 4298 6140 7982 8596 10745 12280 15964 17192 19955 21490 27937 31928 39910 42980 55874 79820 85960 111748 139685 159640 223496 279370 558740 1117480