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106559028 = 22323195483
BaseRepresentation
bin1100101100111…
…11011000110100
321102111202111200
412112133120310
5204234342103
614323532500
72432510502
oct626373064
9242452450
10106559028
1155171414
122b82a130
13190cc0a4
141021b672
15954d0a3
hex659f634

106559028 has 36 divisors (see below), whose sum is σ = 278049408. Its totient is φ = 34373520.

The previous prime is 106559027. The next prime is 106559029. The reversal of 106559028 is 820955601.

It is a happy number.

106559028 is a `hidden beast` number, since 1 + 0 + 65 + 590 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106559027) and next prime (106559029).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1065590282 = 22709652896609568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106558983 and 106559001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106559027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46626 + ... + 48857.

Almost surely, 2106559028 is an apocalyptic number.

106559028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106559028 is an abundant number, since it is smaller than the sum of its proper divisors (171490380).

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

106559028 is a wasteful number, since it uses less digits than its factorization.

106559028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95524 (or 95519 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 106559028 is about 10322.7432400501. The cubic root of 106559028 is about 474.0928622205.

It can be divided in two parts, 10655 and 9028, that added together give a 9-th power (19683 = 39).

The spelling of 106559028 in words is "one hundred six million, five hundred fifty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 95483 190966 286449 381932 572898 859347 1145796 1718694 2959973 3437388 5919946 8879919 11839892 17759838 26639757 35519676 53279514 106559028