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10147008 = 263411289
BaseRepresentation
bin100110101101…
…010011000000
3201002112002010
4212231103000
510044201013
61001252520
7152151054
oct46552300
921075063
1010147008
115800663
123494140
132143761
1414c1c64
15d567c3
hex9ad4c0

10147008 has 56 divisors (see below), whose sum is σ = 27523440. Its totient is φ = 3297280.

The previous prime is 10147003. The next prime is 10147021. The reversal of 10147008 is 80074101.

It is not an unprimeable number, because it can be changed into a prime (10147001) 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, 7228 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (491490).

Almost surely, 210147008 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 10147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761720).

10147008 is an abundant number, since it is smaller than the sum of its proper divisors (17376432).

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

10147008 is a wasteful number, since it uses less digits than its factorization.

10147008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10147008 is about 3185.4368617193. The cubic root of 10147008 is about 216.4940679339.

The spelling of 10147008 in words is "ten million, one hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1289 1312 1968 2578 2624 3867 3936 5156 7734 7872 10312 15468 20624 30936 41248 52849 61872 82496 105698 123744 158547 211396 247488 317094 422792 634188 845584 1268376 1691168 2536752 3382336 5073504 10147008