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12419320 = 235714373
BaseRepresentation
bin101111011000…
…000011111000
3212100222002211
4233120003320
511134404240
61122104504
7210363634
oct57300370
925328084
1012419320
117012901
1241ab134
13275ab14
141913dc4
151154bea
hexbd80f8

12419320 has 32 divisors (see below), whose sum is σ = 28343520. Its totient is φ = 4896640.

The previous prime is 12419317. The next prime is 12419339. The reversal of 12419320 is 2391421.

12419320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12419291 and 12419300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 5026.

It is an arithmetic number, because the mean of its divisors is an integer number (885735).

Almost surely, 212419320 is an apocalyptic number.

12419320 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 12419320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171760).

12419320 is an abundant number, since it is smaller than the sum of its proper divisors (15924200).

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

12419320 is a wasteful number, since it uses less digits than its factorization.

12419320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12419320 is about 3524.1055602805. The cubic root of 12419320 is about 231.5790523778.

The spelling of 12419320 in words is "twelve million, four hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4373 8746 17492 21865 34984 43730 87460 174920 310483 620966 1241932 1552415 2483864 3104830 6209660 12419320