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13802220 = 2232576679
BaseRepresentation
bin110100101001…
…101011101100
3221222020002100
4310221223230
512013132340
61211455100
7225213465
oct64515354
927866070
1013802220
1178778a3
124757490
132b233c3
141b93d6c
151329830
hexd29aec

13802220 has 36 divisors (see below), whose sum is σ = 41867280. Its totient is φ = 3680544.

The previous prime is 13802219. The next prime is 13802237. The reversal of 13802220 is 2220831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13802193 and 13802202.

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 11 ways as a sum of consecutive naturals, for example, 38160 + ... + 38519.

It is an arithmetic number, because the mean of its divisors is an integer number (1162980).

Almost surely, 213802220 is an apocalyptic number.

13802220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13802220 is an abundant number, since it is smaller than the sum of its proper divisors (28065060).

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

13802220 is a wasteful number, since it uses less digits than its factorization.

13802220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76694 (or 76689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13802220 is about 3715.1339141409. The cubic root of 13802220 is about 239.8738920816.

It can be divided in two parts, 1380 and 2220, that added together give a square (3600 = 602).

The spelling of 13802220 in words is "thirteen million, eight hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 76679 153358 230037 306716 383395 460074 690111 766790 920148 1150185 1380222 1533580 2300370 2760444 3450555 4600740 6901110 13802220