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8002104 = 23311171783
BaseRepresentation
bin11110100001101000111000
3120001112211020
4132201220320
54022031404
6443302440
7125005515
oct36415070
916045736
108002104
114576110
12281aa20
131872396
1410c430c
15a80ed9
hex7a1a38

8002104 has 64 divisors (see below), whose sum is σ = 23120640. Its totient is φ = 2280960.

The previous prime is 8002103. The next prime is 8002117. The reversal of 8002104 is 4012008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002103) by changing a digit.

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, 3597 + ... + 5379.

It is an arithmetic number, because the mean of its divisors is an integer number (361260).

Almost surely, 28002104 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 8002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560320).

8002104 is an abundant number, since it is smaller than the sum of its proper divisors (15118536).

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

8002104 is a wasteful number, since it uses less digits than its factorization.

8002104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8002104 is about 2828.7990384614. The cubic root of 8002104 is about 200.0175317965.

The spelling of 8002104 in words is "eight million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1783 2244 3566 4488 5349 7132 10698 14264 19613 21396 30311 39226 42792 58839 60622 78452 90933 117678 121244 156904 181866 235356 242488 333421 363732 470712 666842 727464 1000263 1333684 2000526 2667368 4001052 8002104