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13740740 = 22513411289
BaseRepresentation
bin110100011010…
…101011000100
3221212002202022
4310122223010
512004200430
61210302312
7224536316
oct64325304
927762668
1013740740
117835692
124727998
132b01420
141b797b6
1513164e5
hexd1aac4

13740740 has 48 divisors (see below), whose sum is σ = 31857840. Its totient is φ = 4945920.

The previous prime is 13740739. The next prime is 13740757. The reversal of 13740740 is 4704731.

It can be written as a sum of positive squares in 8 ways, for example, as 1893376 + 11847364 = 1376^2 + 3442^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 10016 + ... + 11304.

It is an arithmetic number, because the mean of its divisors is an integer number (663705).

Almost surely, 213740740 is an apocalyptic number.

13740740 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 13740740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928920).

13740740 is an abundant number, since it is smaller than the sum of its proper divisors (18117100).

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

13740740 is a wasteful number, since it uses less digits than its factorization.

13740740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 13740740 is about 3706.8504151098. The cubic root of 13740740 is about 239.5172007178.

The spelling of 13740740 in words is "thirteen million, seven hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 1289 2132 2578 2665 5156 5330 6445 10660 12890 16757 25780 33514 52849 67028 83785 105698 167570 211396 264245 335140 528490 687037 1056980 1374074 2748148 3435185 6870370 13740740