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13355244 = 22327267113
BaseRepresentation
bin110010111100…
…100011101100
3221010111221200
4302330203230
511404331434
61154125500
7221342400
oct62744354
927114850
1013355244
1175a1aa1
124580890
1329c7b16
141ab9100
15128c199
hexcbc8ec

13355244 has 108 divisors (see below), whose sum is σ = 40209624. Its totient is φ = 3725568.

The previous prime is 13355231. The next prime is 13355257. The reversal of 13355244 is 44255331.

13355244 is a `hidden beast` number, since 133 + 5 + 524 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13355231) and next prime (13355257).

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 35 ways as a sum of consecutive naturals, for example, 118132 + ... + 118244.

Almost surely, 213355244 is an apocalyptic number.

13355244 is a gapful number since it is divisible by the number (14) 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 13355244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20104812).

13355244 is an abundant number, since it is smaller than the sum of its proper divisors (26854380).

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

13355244 is a wasteful number, since it uses less digits than its factorization.

13355244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 13355244 is about 3654.4827267344. The cubic root of 13355244 is about 237.2560390542.

The spelling of 13355244 in words is "thirteen million, three hundred fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 113 126 134 147 196 201 226 252 268 294 339 402 441 452 469 588 603 678 791 804 882 938 1017 1206 1356 1407 1582 1764 1876 2034 2373 2412 2814 3164 3283 4068 4221 4746 5537 5628 6566 7119 7571 8442 9492 9849 11074 13132 14238 15142 16611 16884 19698 22148 22713 28476 29547 30284 33222 39396 45426 49833 52997 59094 66444 68139 90852 99666 105994 118188 136278 158991 199332 211988 272556 317982 370979 476973 635964 741958 953946 1112937 1483916 1907892 2225874 3338811 4451748 6677622 13355244