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13764270 = 23513291217
BaseRepresentation
bin110100100000…
…011010101110
3221220022000210
4310200122232
512010424040
61211003250
7224665032
oct64403256
927808023
1013764270
117851333
124739526
132b0c050
141b841c2
15131d480
hexd206ae

13764270 has 64 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 3268608.

The previous prime is 13764263. The next prime is 13764293. The reversal of 13764270 is 7246731.

13764270 = 882 + 892 + ... + 3472.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10702 + ... + 11918.

It is an arithmetic number, because the mean of its divisors is an integer number (575505).

Almost surely, 213764270 is an apocalyptic number.

13764270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

13764270 is an abundant number, since it is smaller than the sum of its proper divisors (23068050).

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

13764270 is a wasteful number, since it uses less digits than its factorization.

13764270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13764270 is about 3710.0229109805. The cubic root of 13764270 is about 239.6538412433.

The spelling of 13764270 in words is "thirteen million, seven hundred sixty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1217 1885 2262 2434 3651 3770 5655 6085 7302 11310 12170 15821 18255 31642 35293 36510 47463 70586 79105 94926 105879 158210 176465 211758 237315 352930 458809 474630 529395 917618 1058790 1376427 2294045 2752854 4588090 6882135 13764270