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13277820 = 2235375981
BaseRepresentation
bin110010101001…
…101001111100
3220222120202010
4302221221330
511344342240
61152331220
7220600563
oct62515174
926876663
1013277820
117549906
124543b10
13299b7ca
141a98bda
151274280
hexca9a7c

13277820 has 48 divisors (see below), whose sum is σ = 38189088. Its totient is φ = 3444480.

The previous prime is 13277807. The next prime is 13277843. The reversal of 13277820 is 2877231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 771 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (795606).

Almost surely, 213277820 is an apocalyptic number.

13277820 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 13277820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094544).

13277820 is an abundant number, since it is smaller than the sum of its proper divisors (24911268).

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

13277820 is a wasteful number, since it uses less digits than its factorization.

13277820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 13277820 is about 3643.8743117731. The cubic root of 13277820 is about 236.7966708428.

The spelling of 13277820 in words is "thirteen million, two hundred seventy-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5981 11962 17943 23924 29905 35886 59810 71772 89715 119620 179430 221297 358860 442594 663891 885188 1106485 1327782 2212970 2655564 3319455 4425940 6638910 13277820