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1074408120 = 2332517916673
BaseRepresentation
bin100000000001010…
…0010101010111000
32202212200120212100
41000002202222320
54200022024440
6254340143400
735424214122
oct10002425270
92685616770
101074408120
115015257a5
1225b997b60
13141790266
14a299a212
15644cd230
hex400a2ab8

1074408120 has 96 divisors (see below), whose sum is σ = 3511544400. Its totient is φ = 284891136.

The previous prime is 1074408107. The next prime is 1074408121. The reversal of 1074408120 is 218044701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074408121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56104 + ... + 72776.

Almost surely, 21074408120 is an apocalyptic number.

1074408120 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 1074408120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755772200).

1074408120 is an abundant number, since it is smaller than the sum of its proper divisors (2437136280).

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

1074408120 is a wasteful number, since it uses less digits than its factorization.

1074408120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16869 (or 16862 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1074408120 is about 32778.1652933778. The cubic root of 1074408120 is about 1024.2117659973.

The spelling of 1074408120 in words is "one billion, seventy-four million, four hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2685 3222 3580 4296 5370 6444 7160 8055 10740 12888 16110 16673 21480 32220 33346 50019 64440 66692 83365 100038 133384 150057 166730 200076 250095 300114 333460 400152 500190 600228 666920 750285 1000380 1200456 1500570 2000760 2984467 3001140 5968934 6002280 8953401 11937868 14922335 17906802 23875736 26860203 29844670 35813604 44767005 53720406 59689340 71627208 89534010 107440812 119378680 134301015 179068020 214881624 268602030 358136040 537204060 1074408120