Search a number
-
+
12419352 = 2333115227
BaseRepresentation
bin101111011000…
…000100011000
3212100222011000
4233120010120
511134404402
61122105000
7210364011
oct57300430
925328130
1012419352
117012930
1241ab160
13275ab3a
141914008
151154c1c
hexbd8118

12419352 has 64 divisors (see below), whose sum is σ = 37641600. Its totient is φ = 3762720.

The previous prime is 12419347. The next prime is 12419359. The reversal of 12419352 is 25391421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12419359) 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, 238 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (588150).

Almost surely, 212419352 is an apocalyptic number.

12419352 is a gapful number since it is divisible by the number (12) 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 12419352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820800).

12419352 is an abundant number, since it is smaller than the sum of its proper divisors (25222248).

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

12419352 is a wasteful number, since it uses less digits than its factorization.

12419352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5243 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12419352 is about 3524.1101004367. The cubic root of 12419352 is about 231.5792512755.

The spelling of 12419352 in words is "twelve million, four hundred nineteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5227 10454 15681 20908 31362 41816 47043 57497 62724 94086 114994 125448 141129 172491 188172 229988 282258 344982 376344 459976 517473 564516 689964 1034946 1129032 1379928 1552419 2069892 3104838 4139784 6209676 12419352