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106250280 = 23351946601
BaseRepresentation
bin1100101010101…
…00000000101000
321101221001222120
412111110000220
5204200002110
614313151240
72430053403
oct625240050
9241831876
10106250280
1154a80454
122b6bb520
13190216b6
141017ad3a
1594db870
hex6554028

106250280 has 64 divisors (see below), whose sum is σ = 335534400. Its totient is φ = 26841600.

The previous prime is 106250269. The next prime is 106250281. The reversal of 106250280 is 82052601.

It is a super-2 number, since 2×1062502802 = 22578244000156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106250280.

It is not an unprimeable number, because it can be changed into a prime (106250281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21021 + ... + 25580.

It is an arithmetic number, because the mean of its divisors is an integer number (5242725).

Almost surely, 2106250280 is an apocalyptic number.

106250280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106250280 is an abundant number, since it is smaller than the sum of its proper divisors (229284120).

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

106250280 is a wasteful number, since it uses less digits than its factorization.

106250280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46634 (or 46630 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106250280 is about 10307.7776460302. Note that the first 3 decimals coincide. The cubic root of 106250280 is about 473.6345346477.

The spelling of 106250280 in words is "one hundred six million, two hundred fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 46601 93202 139803 186404 233005 279606 372808 466010 559212 699015 885419 932020 1118424 1398030 1770838 1864040 2656257 2796060 3541676 4427095 5312514 5592120 7083352 8854190 10625028 13281285 17708380 21250056 26562570 35416760 53125140 106250280