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13710120 = 2335432657
BaseRepresentation
bin110100010011…
…001100101000
3221210112202020
4310103030220
512002210440
61205504440
7224351124
oct64231450
927715666
1013710120
117814686
124712120
132ac04c8
141b6c584
15130c3d0
hexd13328

13710120 has 64 divisors (see below), whose sum is σ = 42102720. Its totient is φ = 3569664.

The previous prime is 13710083. The next prime is 13710121. The reversal of 13710120 is 2101731.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13710120.

It is not an unprimeable number, because it can be changed into a prime (13710121) 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, 3832 + ... + 6488.

It is an arithmetic number, because the mean of its divisors is an integer number (657855).

Almost surely, 213710120 is an apocalyptic number.

13710120 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 13710120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051360).

13710120 is an abundant number, since it is smaller than the sum of its proper divisors (28392600).

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

13710120 is a wasteful number, since it uses less digits than its factorization.

13710120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 13710120 is about 3702.7179206631. The cubic root of 13710120 is about 239.3391542377.

Adding to 13710120 its reverse (2101731), we get a palindrome (15811851).

The spelling of 13710120 in words is "thirteen million, seven hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 2657 5160 5314 7971 10628 13285 15942 21256 26570 31884 39855 53140 63768 79710 106280 114251 159420 228502 318840 342753 457004 571255 685506 914008 1142510 1371012 1713765 2285020 2742024 3427530 4570040 6855060 13710120