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106652208 = 24313672551
BaseRepresentation
bin1100101101101…
…10001000110000
321102200111022210
412112312020300
5204300332313
614325532120
72433346245
oct626661060
9242614283
10106652208
1155225423
122b874040
1319132620
14102435cc
15956a9c3
hex65b6230

106652208 has 80 divisors (see below), whose sum is σ = 301258496. Its totient is φ = 32313600.

The previous prime is 106652207. The next prime is 106652239. The reversal of 106652208 is 802256601.

It is a super-2 number, since 2×1066522082 = 22749386942550528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106652201) 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, 40533 + ... + 43083.

Almost surely, 2106652208 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 106652208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150629248).

106652208 is an abundant number, since it is smaller than the sum of its proper divisors (194606288).

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

106652208 is a wasteful number, since it uses less digits than its factorization.

106652208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106652208 is about 10327.2555889743. The cubic root of 106652208 is about 474.2310113243.

The spelling of 106652208 in words is "one hundred six million, six hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2551 2613 3216 3484 5102 5226 6968 7653 10204 10452 13936 15306 20408 20904 30612 33163 40816 41808 61224 66326 99489 122448 132652 170917 198978 265304 341834 397956 512751 530608 683668 795912 1025502 1367336 1591824 2051004 2221921 2734672 4102008 4443842 6665763 8204016 8887684 13331526 17775368 26663052 35550736 53326104 106652208