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106060008 = 233171911361
BaseRepresentation
bin1100101001001…
…01100011101000
321101120101222110
412110211203220
5204122410013
614305122320
72425331565
oct624454350
9241511873
10106060008
11549604aa
122b6293a0
1318c85c02
141012b86c
1594a02c3
hex65258e8

106060008 has 64 divisors (see below), whose sum is σ = 282424320. Its totient is φ = 33075200.

The previous prime is 106060007. The next prime is 106060039. The reversal of 106060008 is 800060601.

It is a super-2 number, since 2×1060600082 = 22497450593920128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106060007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77248 + ... + 78608.

It is an arithmetic number, because the mean of its divisors is an integer number (4412880).

Almost surely, 2106060008 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 106060008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141212160).

106060008 is an abundant number, since it is smaller than the sum of its proper divisors (176364312).

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

106060008 is a wasteful number, since it uses less digits than its factorization.

106060008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106060008 is about 10298.5439747568. The cubic root of 106060008 is about 473.3516389579.

The spelling of 106060008 in words is "one hundred six million, sixty thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 191 204 382 408 573 764 1146 1361 1528 2292 2722 3247 4083 4584 5444 6494 8166 9741 10888 12988 16332 19482 23137 25976 32664 38964 46274 69411 77928 92548 138822 185096 259951 277644 519902 555288 779853 1039804 1559706 2079608 3119412 4419167 6238824 8838334 13257501 17676668 26515002 35353336 53030004 106060008