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13741780 = 22513173109
BaseRepresentation
bin110100011010…
…111011010100
3221212011011211
4310122323110
512004214110
61210311204
7224542333
oct64327324
927764154
1013741780
117836448
124728504
132b01a40
141b79d1a
15131698a
hexd1aed4

13741780 has 48 divisors (see below), whose sum is σ = 32916240. Its totient is φ = 4773888.

The previous prime is 13741771. The next prime is 13741801. The reversal of 13741780 is 8714731.

It can be written as a sum of positive squares in 8 ways, for example, as 1153476 + 12588304 = 1074^2 + 3548^2 .

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, 2866 + ... + 5974.

It is an arithmetic number, because the mean of its divisors is an integer number (685755).

Almost surely, 213741780 is an apocalyptic number.

13741780 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 13741780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458120).

13741780 is an abundant number, since it is smaller than the sum of its proper divisors (19174460).

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

13741780 is a wasteful number, since it uses less digits than its factorization.

13741780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 13741780 is about 3706.9906932713. The cubic root of 13741780 is about 239.5232433716.

The spelling of 13741780 in words is "thirteen million, seven hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 3109 4420 6218 12436 15545 31090 40417 52853 62180 80834 105706 161668 202085 211412 264265 404170 528530 687089 808340 1057060 1374178 2748356 3435445 6870890 13741780