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1418120 = 235112293
BaseRepresentation
bin101011010001110001000
32200001021222
411122032020
5330334440
650221212
715024314
oct5321610
92601258
101418120
11889500
12584808
133a8632
1428cb44
151d02b5
hex15a388

1418120 has 48 divisors (see below), whose sum is σ = 3519180. Its totient is φ = 513920.

The previous prime is 1418119. The next prime is 1418147. The reversal of 1418120 is 218141.

It can be written as a sum of positive squares in 2 ways, for example, as 1359556 + 58564 = 1166^2 + 242^2 .

It is a super-2 number, since 2×14181202 = 4022128668800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4694 + ... + 4986.

21418120 is an apocalyptic number.

1418120 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 1418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759590).

1418120 is an abundant number, since it is smaller than the sum of its proper divisors (2101060).

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

1418120 is a wasteful number, since it uses less digits than its factorization.

1418120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1418120 is about 1190.8484370397. The cubic root of 1418120 is about 112.3494612019.

The spelling of 1418120 in words is "one million, four hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 293 440 484 586 605 968 1172 1210 1465 2344 2420 2930 3223 4840 5860 6446 11720 12892 16115 25784 32230 35453 64460 70906 128920 141812 177265 283624 354530 709060 1418120