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1074480 = 243511237
BaseRepresentation
bin100000110010100110000
32000120220120
410012110300
5233340410
635010240
712063411
oct4062460
92016816
101074480
11674300
12439980
132b80b4
141dd808
15163570
hex106530

1074480 has 120 divisors (see below), whose sum is σ = 3760176. Its totient is φ = 253440.

The previous prime is 1074473. The next prime is 1074481. The reversal of 1074480 is 844701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1074480.

It is not an unprimeable number, because it can be changed into a prime (1074481) 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 23 ways as a sum of consecutive naturals, for example, 29022 + ... + 29058.

21074480 is an apocalyptic number.

1074480 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 1074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880088).

1074480 is an abundant number, since it is smaller than the sum of its proper divisors (2685696).

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

1074480 is a wasteful number, since it uses less digits than its factorization.

1074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1074480 is about 1036.5712710663. The cubic root of 1074480 is about 102.4234606077.

The spelling of 1074480 in words is "one million, seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 121 132 148 165 176 185 220 222 240 242 264 296 330 363 370 407 440 444 484 528 555 592 605 660 726 740 814 880 888 968 1110 1210 1221 1320 1452 1480 1628 1776 1815 1936 2035 2220 2420 2442 2640 2904 2960 3256 3630 4070 4440 4477 4840 4884 5808 6105 6512 7260 8140 8880 8954 9680 9768 12210 13431 14520 16280 17908 19536 22385 24420 26862 29040 32560 35816 44770 48840 53724 67155 71632 89540 97680 107448 134310 179080 214896 268620 358160 537240 1074480