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8009430 = 23511131867
BaseRepresentation
bin11110100011011011010110
3120001220212120
4132203123112
54022300210
6443400410
7125036052
oct36433326
916056776
108009430
114580670
122823106
131875810
1410c6c62
15a83270
hex7a36d6

8009430 has 64 divisors (see below), whose sum is σ = 22595328. Its totient is φ = 1791360.

The previous prime is 8009399. The next prime is 8009453. The reversal of 8009430 is 349008.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8009430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3357 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (353052).

Almost surely, 28009430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297664).

8009430 is an abundant number, since it is smaller than the sum of its proper divisors (14585898).

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

8009430 is a wasteful number, since it uses less digits than its factorization.

8009430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 8009430 is about 2830.0936380268. The cubic root of 8009430 is about 200.0785524768.

The spelling of 8009430 in words is "eight million, nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 1867 2145 3734 4290 5601 9335 11202 18670 20537 24271 28005 41074 48542 56010 61611 72813 102685 121355 123222 145626 205370 242710 266981 308055 364065 533962 616110 728130 800943 1334905 1601886 2669810 4004715 8009430