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1074982320 = 24335497677
BaseRepresentation
bin100000000010010…
…1110110110110000
32202220202202112000
41000010232312300
54200143413240
6254400334000
735432125146
oct10004566660
92686682460
101074982320
11501888145
12260014300
13141931719
14a2aa9596
1564593430
hex4012edb0

1074982320 has 80 divisors (see below), whose sum is σ = 3702724320. Its totient is φ = 286661376.

The previous prime is 1074982291. The next prime is 1074982331. The reversal of 1074982320 is 232894701.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246679 + ... + 250998.

It is an arithmetic number, because the mean of its divisors is an integer number (46284054).

Almost surely, 21074982320 is an apocalyptic number.

1074982320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074982320 is an abundant number, since it is smaller than the sum of its proper divisors (2627742000).

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

1074982320 is a wasteful number, since it uses less digits than its factorization.

1074982320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497699 (or 497687 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1074982320 is about 32786.9230029291. The cubic root of 1074982320 is about 1024.3941912939.

The spelling of 1074982320 in words is "one billion, seventy-four million, nine hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 497677 995354 1493031 1990708 2488385 2986062 3981416 4479093 4976770 5972124 7465155 7962832 8958186 9953540 11944248 13437279 14930310 17916372 19907080 22395465 23888496 26874558 29860620 35832744 39814160 44790930 53749116 59721240 67186395 71665488 89581860 107498232 119442480 134372790 179163720 214996464 268745580 358327440 537491160 1074982320