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106016260 = 2257757259
BaseRepresentation
bin1100101000110…
…10111000000100
321101111011222011
412110122320010
5204120010020
614304144004
72425060210
oct624327004
9241434864
10106016260
1154930649
122b608004
1318c6c01c
1410119940
15949235a
hex651ae04

106016260 has 24 divisors (see below), whose sum is σ = 254439360. Its totient is φ = 36348384.

The previous prime is 106016227. The next prime is 106016263. The reversal of 106016260 is 62610601.

It is a super-2 number, since 2×1060162602 = 22478894768775200, which contains 22 as substring.

106016260 is a modest number, since divided by 16260 gives 1060 as remainder.

It is not an unprimeable number, because it can be changed into a prime (106016263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378490 + ... + 378769.

It is an arithmetic number, because the mean of its divisors is an integer number (10601640).

Almost surely, 2106016260 is an apocalyptic number.

106016260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106016260 is an abundant number, since it is smaller than the sum of its proper divisors (148423100).

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

106016260 is a wasteful number, since it uses less digits than its factorization.

106016260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757275 (or 757273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106016260 is about 10296.4197661129. The cubic root of 106016260 is about 473.2865467653.

Adding to 106016260 its reverse (62610601), we get a palindrome (168626861).

It can be divided in two parts, 106016 and 260, that added together give a square (106276 = 3262).

The spelling of 106016260 in words is "one hundred six million, sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 757259 1514518 3029036 3786295 5300813 7572590 10601626 15145180 21203252 26504065 53008130 106016260