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13444420 = 22511232657
BaseRepresentation
bin110011010010…
…010101000100
3221022001021111
4303102111010
511420210140
61200054404
7222163363
oct63222504
927261244
1013444420
117652aa0
124604404
132a295a2
141add7da
1512a87ea
hexcd2544

13444420 has 48 divisors (see below), whose sum is σ = 32151168. Its totient is φ = 4674560.

The previous prime is 13444373. The next prime is 13444469. The reversal of 13444420 is 2444431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13444391 and 13444400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3732 + ... + 6388.

It is an arithmetic number, because the mean of its divisors is an integer number (669816).

Almost surely, 213444420 is an apocalyptic number.

13444420 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 13444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075584).

13444420 is an abundant number, since it is smaller than the sum of its proper divisors (18706748).

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

13444420 is a wasteful number, since it uses less digits than its factorization.

13444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 13444420 is about 3666.6633333318. The cubic root of 13444420 is about 237.7829388799.

Adding to 13444420 its reverse (2444431), we get a palindrome (15888851).

It can be divided in two parts, 13444 and 420, that multiplied together give a triangular number (5646480 = T3360).

The spelling of 13444420 in words is "thirteen million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 2657 5060 5314 10628 13285 26570 29227 53140 58454 61111 116908 122222 146135 244444 292270 305555 584540 611110 672221 1222220 1344442 2688884 3361105 6722210 13444420