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13742260 = 2257103953
BaseRepresentation
bin110100011011…
…000010110100
3221212011211121
4310123002310
512004223020
61210313324
7224543620
oct64330264
927764747
1013742260
117836844
124728844
132b0201c
141b7a180
151316baa
hexd1b0b4

13742260 has 48 divisors (see below), whose sum is σ = 33336576. Its totient is φ = 4660992.

The previous prime is 13742249. The next prime is 13742297. The reversal of 13742260 is 6224731.

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 15 ways as a sum of consecutive naturals, for example, 13944 + ... + 14896.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 213742260 is an apocalyptic number.

13742260 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 13742260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668288).

13742260 is an abundant number, since it is smaller than the sum of its proper divisors (19594316).

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

13742260 is a wasteful number, since it uses less digits than its factorization.

13742260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 13742260 is about 3707.0554352478. The cubic root of 13742260 is about 239.5260321859.

Adding to 13742260 its reverse (6224731), we get a palindrome (19966991).

The spelling of 13742260 in words is "thirteen million, seven hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 953 1030 1442 1906 2060 2884 3605 3812 4765 6671 7210 9530 13342 14420 19060 26684 33355 66710 98159 133420 196318 392636 490795 687113 981590 1374226 1963180 2748452 3435565 6871130 13742260