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12606420 = 22351631289
BaseRepresentation
bin110000000101…
…101111010100
3212201110202110
4300011233110
511211401140
61130111020
7212103261
oct60055724
925643673
1012606420
117130432
12427b470
1327c5028
141962268
151190380
hexc05bd4

12606420 has 48 divisors (see below), whose sum is σ = 35542080. Its totient is φ = 3338496.

The previous prime is 12606409. The next prime is 12606427. The reversal of 12606420 is 2460621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9136 + ... + 10424.

It is an arithmetic number, because the mean of its divisors is an integer number (740460).

Almost surely, 212606420 is an apocalyptic number.

12606420 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 12606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771040).

12606420 is an abundant number, since it is smaller than the sum of its proper divisors (22935660).

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

12606420 is a wasteful number, since it uses less digits than its factorization.

12606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12606420 is about 3550.5520697492. The cubic root of 12606420 is about 232.7361919337.

The spelling of 12606420 in words is "twelve million, six hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1289 1630 1956 2445 2578 3260 3867 4890 5156 6445 7734 9780 12890 15468 19335 25780 38670 77340 210107 420214 630321 840428 1050535 1260642 2101070 2521284 3151605 4202140 6303210 12606420