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106489240 = 235111318617
BaseRepresentation
bin1100101100011…
…10010110011000
321102101012202221
412112032112120
5204230123430
614322233424
72432100154
oct626162630
9242335687
10106489240
1155123a40
122b7b5874
13190a63b0
1410200064
15953757a
hex658e598

106489240 has 64 divisors (see below), whose sum is σ = 281504160. Its totient is φ = 35742720.

The previous prime is 106489231. The next prime is 106489267. The reversal of 106489240 is 42984601.

It is a super-2 number, since 2×1064892402 = 22679916471555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106489196 and 106489205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 15028.

Almost surely, 2106489240 is an apocalyptic number.

106489240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106489240 is an abundant number, since it is smaller than the sum of its proper divisors (175014920).

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

106489240 is a wasteful number, since it uses less digits than its factorization.

106489240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 18648 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 106489240 is about 10319.3623834033. The cubic root of 106489240 is about 473.9893414494.

The spelling of 106489240 in words is "one hundred six million, four hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 18617 37234 74468 93085 148936 186170 204787 242021 372340 409574 484042 744680 819148 968084 1023935 1210105 1638296 1936168 2047870 2420210 2662231 4095740 4840420 5324462 8191480 9680840 10648924 13311155 21297848 26622310 53244620 106489240