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13702340 = 22517191211
BaseRepresentation
bin110100010001…
…010011000100
3221210011002002
4310101103010
512001433330
61205404432
7224316341
oct64212304
927704062
1013702340
117809853
124709718
132ab9ac2
141b697c8
151309e45
hexd114c4

13702340 has 48 divisors (see below), whose sum is σ = 30772224. Its totient is φ = 5107200.

The previous prime is 13702327. The next prime is 13702343. The reversal of 13702340 is 4320731.

It is a super-4 number, since 4×137023404 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13702343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64835 + ... + 65045.

It is an arithmetic number, because the mean of its divisors is an integer number (641088).

Almost surely, 213702340 is an apocalyptic number.

13702340 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 13702340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386112).

13702340 is an abundant number, since it is smaller than the sum of its proper divisors (17069884).

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

13702340 is a wasteful number, since it uses less digits than its factorization.

13702340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13702340 is about 3701.6671919555. The cubic root of 13702340 is about 239.2938735509.

The spelling of 13702340 in words is "thirteen million, seven hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 191 211 340 382 422 764 844 955 1055 1910 2110 3247 3587 3820 4220 6494 7174 12988 14348 16235 17935 32470 35870 40301 64940 71740 80602 161204 201505 403010 685117 806020 1370234 2740468 3425585 6851170 13702340