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12377420 = 22511127443
BaseRepresentation
bin101111001101…
…110101001100
3212021211121222
4233031311030
511132034140
61121142512
7210130526
oct57156514
925254558
1012377420
116a94380
12418aa38
132744a23
141902a16
1511475b5
hexbcdd4c

12377420 has 48 divisors (see below), whose sum is σ = 28643328. Its totient is φ = 4455360.

The previous prime is 12377419. The next prime is 12377423. The reversal of 12377420 is 2477321.

It is a self number, because there is not a number n which added to its sum of digits gives 12377420.

It is not an unprimeable number, because it can be changed into a prime (12377423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27719 + ... + 28161.

It is an arithmetic number, because the mean of its divisors is an integer number (596736).

Almost surely, 212377420 is an apocalyptic number.

12377420 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 12377420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321664).

12377420 is an abundant number, since it is smaller than the sum of its proper divisors (16265908).

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

12377420 is a wasteful number, since it uses less digits than its factorization.

12377420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 12377420 is about 3518.1557668756. The cubic root of 12377420 is about 231.3183270216.

Subtracting from 12377420 its reverse (2477321), we obtain a palindrome (9900099).

The spelling of 12377420 in words is "twelve million, three hundred seventy-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 443 508 635 886 1270 1397 1772 2215 2540 2794 4430 4873 5588 6985 8860 9746 13970 19492 24365 27940 48730 56261 97460 112522 225044 281305 562610 618871 1125220 1237742 2475484 3094355 6188710 12377420