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8046990 = 2325753241
BaseRepresentation
bin11110101100100110001110
3120010211101200
4132230212032
54030000430
6444250330
7125253420
oct36544616
916124350
108046990
1145a6906
1228409a6
131889943
1410d6810
15a8e460
hex7ac98e

8046990 has 96 divisors (see below), whose sum is σ = 24463296. Its totient is φ = 1797120.

The previous prime is 8046989. The next prime is 8046991. The reversal of 8046990 is 996408.

It is an interprime number because it is at equal distance from previous prime (8046989) and next prime (8046991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8046991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33270 + ... + 33510.

It is an arithmetic number, because the mean of its divisors is an integer number (254826).

Almost surely, 28046990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8046990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231648).

8046990 is an abundant number, since it is smaller than the sum of its proper divisors (16416306).

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

8046990 is a wasteful number, since it uses less digits than its factorization.

8046990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8046990 is about 2836.7216994270. The cubic root of 8046990 is about 200.3908191379.

The spelling of 8046990 in words is "eight million, forty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 241 265 315 318 371 477 482 530 630 723 742 795 954 1113 1205 1446 1590 1687 1855 2169 2226 2385 2410 3339 3374 3615 3710 4338 4770 5061 5565 6678 7230 8435 10122 10845 11130 12773 15183 16695 16870 21690 25305 25546 30366 33390 38319 50610 63865 75915 76638 89411 114957 127730 151830 178822 191595 229914 268233 383190 447055 536466 574785 804699 894110 1149570 1341165 1609398 2682330 4023495 8046990