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1118480 = 245113141
BaseRepresentation
bin100010001000100010000
32002211021012
410101010100
5241242410
635550052
712335606
oct4210420
92084235
101118480
116a4370
1245b328
1330212c
14211876
15171605
hex111110

1118480 has 80 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 384000.

The previous prime is 1118479. The next prime is 1118483. The reversal of 1118480 is 848111.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1118483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27260 + ... + 27300.

21118480 is an apocalyptic number.

1118480 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 1118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1118480 is an abundant number, since it is smaller than the sum of its proper divisors (1881328).

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

1118480 is a wasteful number, since it uses less digits than its factorization.

1118480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 1118480 is about 1057.5821481095. The cubic root of 1118480 is about 103.8028810597.

The spelling of 1118480 in words is "one million, one hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 41 44 55 62 80 82 88 110 124 155 164 176 205 220 248 310 328 341 410 440 451 496 620 656 682 820 880 902 1240 1271 1364 1640 1705 1804 2255 2480 2542 2728 3280 3410 3608 4510 5084 5456 6355 6820 7216 9020 10168 12710 13640 13981 18040 20336 25420 27280 27962 36080 50840 55924 69905 101680 111848 139810 223696 279620 559240 1118480