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13332420 = 22325174357
BaseRepresentation
bin110010110110…
…111111000100
3221002100122100
4302312333010
511403114140
61153432100
7221216013
oct62667704
927070570
1013332420
117586932
12456b630
1329ba60a
141ab0a7a
151285530
hexcb6fc4

13332420 has 72 divisors (see below), whose sum is σ = 42830424. Its totient is φ = 3345408.

The previous prime is 13332409. The next prime is 13332427. The reversal of 13332420 is 2423331.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 5846724 = 2736^2 + 2418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13332393 and 13332402.

It is not an unprimeable number, because it can be changed into a prime (13332427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882 + ... + 5238.

It is an arithmetic number, because the mean of its divisors is an integer number (594867).

Almost surely, 213332420 is an apocalyptic number.

13332420 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 13332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415212).

13332420 is an abundant number, since it is smaller than the sum of its proper divisors (29498004).

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

13332420 is a wasteful number, since it uses less digits than its factorization.

13332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13332420 is about 3651.3586512420. The cubic root of 13332420 is about 237.1208057937.

Adding to 13332420 its reverse (2423331), we get a palindrome (15755751).

The spelling of 13332420 in words is "thirteen million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4357 8714 13071 17428 21785 26142 39213 43570 52284 65355 74069 78426 87140 130710 148138 156852 196065 222207 261420 296276 370345 392130 444414 666621 740690 784260 888828 1111035 1333242 1481380 2222070 2666484 3333105 4444140 6666210 13332420