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13859080 = 2351789229
BaseRepresentation
bin110100110111…
…100100001000
3222002010002021
4310313210020
512021442310
61213014224
7225541324
oct64674410
928063067
1013859080
117906594
124784374
132b43251
141baa984
15133b5da
hexd37908

13859080 has 64 divisors (see below), whose sum is σ = 33534000. Its totient is φ = 5136384.

The previous prime is 13859059. The next prime is 13859101. The reversal of 13859080 is 8095831.

It is an interprime number because it is at equal distance from previous prime (13859059) and next prime (13859101).

It can be written as a sum of positive squares in 8 ways, for example, as 9253764 + 4605316 = 3042^2 + 2146^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 60406 + ... + 60634.

Almost surely, 213859080 is an apocalyptic number.

13859080 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 13859080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767000).

13859080 is an abundant number, since it is smaller than the sum of its proper divisors (19674920).

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

13859080 is a wasteful number, since it uses less digits than its factorization.

13859080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 13859080 is about 3722.7785322256. The cubic root of 13859080 is about 240.2028377811.

The spelling of 13859080 in words is "thirteen million, eight hundred fifty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 229 340 356 445 458 680 712 890 916 1145 1513 1780 1832 2290 3026 3560 3893 4580 6052 7565 7786 9160 12104 15130 15572 19465 20381 30260 31144 38930 40762 60520 77860 81524 101905 155720 163048 203810 346477 407620 692954 815240 1385908 1732385 2771816 3464770 6929540 13859080