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106466250 = 2354112989
BaseRepresentation
bin1100101100010…
…00101111001010
321102100001020110
412112020233022
5204223410000
614321535150
72431643142
oct626105712
9242301213
10106466250
1155108740
122b7a44b6
1319098aa7
14101d5922
159530850
hex6588bca

106466250 has 160 divisors (see below), whose sum is σ = 303652800. Its totient is φ = 24640000.

The previous prime is 106466249. The next prime is 106466251. The reversal of 106466250 is 52664601.

It is an interprime number because it is at equal distance from previous prime (106466249) and next prime (106466251).

It is a super-2 number, since 2×1064662502 = 22670124778125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106466251) 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 79 ways as a sum of consecutive naturals, for example, 1196206 + ... + 1196294.

It is an arithmetic number, because the mean of its divisors is an integer number (1897830).

Almost surely, 2106466250 is an apocalyptic number.

106466250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106466250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151826400).

106466250 is an abundant number, since it is smaller than the sum of its proper divisors (197186550).

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

106466250 is a wasteful number, since it uses less digits than its factorization.

106466250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106466250 is about 10318.2483978629. The cubic root of 106466250 is about 473.9552290851.

The spelling of 106466250 in words is "one hundred six million, four hundred sixty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 89 110 125 145 150 165 174 178 250 267 275 290 319 330 375 435 445 534 550 625 638 725 750 825 870 890 957 979 1250 1335 1375 1450 1595 1650 1875 1914 1958 2175 2225 2581 2670 2750 2937 3190 3625 3750 4125 4350 4450 4785 4895 5162 5874 6675 6875 7250 7743 7975 8250 9570 9790 10875 11125 12905 13350 13750 14685 15486 15950 18125 20625 21750 22250 23925 24475 25810 28391 29370 33375 36250 38715 39875 41250 47850 48950 54375 55625 56782 64525 66750 73425 77430 79750 85173 108750 111250 119625 122375 129050 141955 146850 166875 170346 193575 199375 239250 244750 283910 322625 333750 367125 387150 398750 425865 598125 611875 645250 709775 734250 851730 967875 1196250 1223750 1419550 1613125 1835625 1935750 2129325 3226250 3548875 3671250 4258650 4839375 7097750 9678750 10646625 17744375 21293250 35488750 53233125 106466250