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12434620 = 22511291949
BaseRepresentation
bin101111011011…
…110010111100
3212101202002111
4233123302330
511140401440
61122303404
7210456352
oct57336274
925352074
1012434620
117023350
1241b7b64
132764a83
1419197d2
1511594ea
hexbdbcbc

12434620 has 48 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 4363520.

The previous prime is 12434579. The next prime is 12434621. The reversal of 12434620 is 2643421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12434591 and 12434600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434621) 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, 5406 + ... + 7354.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 212434620 is an apocalyptic number.

12434620 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 12434620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

12434620 is an abundant number, since it is smaller than the sum of its proper divisors (17049380).

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

12434620 is a wasteful number, since it uses less digits than its factorization.

12434620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12434620 is about 3526.2756557025. The cubic root of 12434620 is about 231.6741114067.

The spelling of 12434620 in words is "twelve million, four hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 1949 3190 3898 6380 7796 9745 19490 21439 38980 42878 56521 85756 107195 113042 214390 226084 282605 428780 565210 621731 1130420 1243462 2486924 3108655 6217310 12434620