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3986520 = 2335139239
BaseRepresentation
bin1111001101010001011000
321111112110220
433031101120
52010032040
6221240040
745612336
oct17152130
97445426
103986520
11228314a
121403020
13a976b5
1475ab56
1553b2d0
hex3cd458

3986520 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1051008.

The previous prime is 3986519. The next prime is 3986531. The reversal of 3986520 is 256893.

It is a happy number.

3986520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16561 + ... + 16799.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 23986520 is an apocalyptic number.

3986520 is a gapful number since it is divisible by the number (30) 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 3986520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3986520 is an abundant number, since it is smaller than the sum of its proper divisors (8109480).

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

3986520 is a wasteful number, since it uses less digits than its factorization.

3986520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3986520 is about 1996.6271559808. The cubic root of 3986520 is about 158.5615864588.

The spelling of 3986520 in words is "three million, nine hundred eighty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 239 278 417 478 556 695 717 834 956 1112 1195 1390 1434 1668 1912 2085 2390 2780 2868 3336 3585 4170 4780 5560 5736 7170 8340 9560 14340 16680 28680 33221 66442 99663 132884 166105 199326 265768 332210 398652 498315 664420 797304 996630 1328840 1993260 3986520