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106561488 = 24311201821
BaseRepresentation
bin1100101100111…
…11111111010000
321102111212212210
412112133333100
5204234431423
614323552120
72432520615
oct626377720
9242455783
10106561488
1155173250
122b82b640
1319100247
141021c50c
15954db93
hex659ffd0

106561488 has 40 divisors (see below), whose sum is σ = 300311136. Its totient is φ = 32291200.

The previous prime is 106561487. The next prime is 106561489. The reversal of 106561488 is 884165601.

It is an interprime number because it is at equal distance from previous prime (106561487) and next prime (106561489).

It is a super-2 number, since 2×1065614882 = 22710701449548288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100383 + ... + 101438.

Almost surely, 2106561488 is an apocalyptic number.

It is an amenable number.

106561488 is an abundant number, since it is smaller than the sum of its proper divisors (193749648).

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

106561488 is a wasteful number, since it uses less digits than its factorization.

106561488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201843 (or 201837 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 106561488 is about 10322.8623937356. The cubic root of 106561488 is about 474.0965104628.

The spelling of 106561488 in words is "one hundred six million, five hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 201821 403642 605463 807284 1210926 1614568 2220031 2421852 3229136 4440062 4843704 6660093 8880124 9687408 13320186 17760248 26640372 35520496 53280744 106561488