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106059240 = 23335714029
BaseRepresentation
bin1100101001001…
…01010111101000
321101120100221000
412110211113220
5204122343430
614305115000
72425326420
oct624452750
9241510830
10106059240
115495a971
122b628a60
1318c85761
141012b480
15949ee60
hex65255e8

106059240 has 128 divisors (see below), whose sum is σ = 404064000. Its totient is φ = 24240384.

The previous prime is 106059227. The next prime is 106059241. The reversal of 106059240 is 42950601.

106059240 is a `hidden beast` number, since 10 + 60 + 592 + 4 + 0 = 666.

It is a super-2 number, since 2×1060592402 = 22497124778755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106059241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 546 + ... + 14574.

It is an arithmetic number, because the mean of its divisors is an integer number (3156750).

Almost surely, 2106059240 is an apocalyptic number.

106059240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106059240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202032000).

106059240 is an abundant number, since it is smaller than the sum of its proper divisors (298004760).

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

106059240 is a wasteful number, since it uses less digits than its factorization.

106059240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106059240 is about 10298.5066878650. The cubic root of 106059240 is about 473.3504964131.

The spelling of 106059240 in words is "one hundred six million, fifty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 14029 28058 42087 56116 70145 84174 98203 112232 126261 140290 168348 196406 210435 252522 280580 294609 336696 378783 392812 420870 491015 505044 561160 589218 631305 757566 785624 841740 883827 982030 1010088 1178436 1262610 1473045 1515132 1683480 1767654 1893915 1964060 2356872 2525220 2651481 2946090 3030264 3535308 3787830 3928120 4419135 5050440 5302962 5892180 7070616 7575660 8838270 10605924 11784360 13257405 15151320 17676540 21211848 26514810 35353080 53029620 106059240