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13355420 = 22513311657
BaseRepresentation
bin110010111100…
…100110011100
3221010112012012
4302330212130
511404333140
61154130352
7221343041
oct62744634
927115165
1013355420
1175a2141
1245809b8
1329c7c20
141ab91c8
15128c265
hexcbc99c

13355420 has 48 divisors (see below), whose sum is σ = 31196928. Its totient is φ = 4769280.

The previous prime is 13355411. The next prime is 13355437. The reversal of 13355420 is 2455331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7232 + ... + 8888.

It is an arithmetic number, because the mean of its divisors is an integer number (649936).

Almost surely, 213355420 is an apocalyptic number.

13355420 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 13355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598464).

13355420 is an abundant number, since it is smaller than the sum of its proper divisors (17841508).

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

13355420 is a wasteful number, since it uses less digits than its factorization.

13355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 13355420 is about 3654.5068066704. The cubic root of 13355420 is about 237.2570812635.

The spelling of 13355420 in words is "thirteen million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 1657 2015 3314 4030 6628 8060 8285 16570 21541 33140 43082 51367 86164 102734 107705 205468 215410 256835 430820 513670 667771 1027340 1335542 2671084 3338855 6677710 13355420