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7986040 = 235533767
BaseRepresentation
bin11110011101101101111000
3120000201210021
4132131231320
54021023130
6443100224
7124610626
oct36355570
916021707
107986040
114565037
122811674
131867c8a
1410bc516
15a7b37a
hex79db78

7986040 has 32 divisors (see below), whose sum is σ = 18312480. Its totient is φ = 3133312.

The previous prime is 7986029. The next prime is 7986047. The reversal of 7986040 is 406897.

It is a junction number, because it is equal to n+sod(n) for n = 7985987 and 7986005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7986047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 4003.

It is an arithmetic number, because the mean of its divisors is an integer number (572265).

Almost surely, 27986040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156240).

7986040 is an abundant number, since it is smaller than the sum of its proper divisors (10326440).

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

7986040 is a wasteful number, since it uses less digits than its factorization.

7986040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7986040 is about 2825.9582445606. The cubic root of 7986040 is about 199.8835989338.

Subtracting from 7986040 its sum of digits (34), we obtain a triangular number (7986006 = T3996).

The spelling of 7986040 in words is "seven million, nine hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 3767 7534 15068 18835 30136 37670 75340 150680 199651 399302 798604 998255 1597208 1996510 3993020 7986040