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12417020 = 2257112733
BaseRepresentation
bin101111010111…
…011111111100
3212100211221122
4233113133330
511134321040
61122050112
7210354140
oct57273774
925324848
1012417020
117011100
1241a9938
132759a65
141913220
1511541b5
hexbd77fc

12417020 has 72 divisors (see below), whose sum is σ = 32800992. Its totient is φ = 3864960.

The previous prime is 12417007. The next prime is 12417037. The reversal of 12417020 is 2071421.

It is a self number, because there is not a number n which added to its sum of digits gives 12417020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16574 + ... + 17306.

Almost surely, 212417020 is an apocalyptic number.

12417020 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 12417020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400496).

12417020 is an abundant number, since it is smaller than the sum of its proper divisors (20383972).

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

12417020 is a wasteful number, since it uses less digits than its factorization.

12417020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 12417020 is about 3523.7792212339. The cubic root of 12417020 is about 231.5647557093.

Adding to 12417020 its reverse (2071421), we get a palindrome (14488441).

The spelling of 12417020 in words is "twelve million, four hundred seventeen thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 733 770 847 1210 1466 1540 1694 2420 2932 3388 3665 4235 5131 7330 8063 8470 10262 14660 16126 16940 20524 25655 32252 40315 51310 56441 80630 88693 102620 112882 161260 177386 225764 282205 354772 443465 564410 620851 886930 1128820 1241702 1773860 2483404 3104255 6208510 12417020