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106302540 = 22356772617
BaseRepresentation
bin1100101011000…
…00110001001100
321102000201200010
412111200301030
5204203140130
614314233220
72430361641
oct625406114
9242021603
10106302540
1155006743
122b725810
131903c416
1410191dc8
1594ec0b0
hex6560c4c

106302540 has 48 divisors (see below), whose sum is σ = 298200672. Its totient is φ = 28294656.

The previous prime is 106302529. The next prime is 106302557. The reversal of 106302540 is 45203601.

It is a happy number.

It is a super-2 number, since 2×1063025402 = 22600460020903200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39312 + ... + 41928.

It is an arithmetic number, because the mean of its divisors is an integer number (6212514).

Almost surely, 2106302540 is an apocalyptic number.

106302540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106302540 is an abundant number, since it is smaller than the sum of its proper divisors (191898132).

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

106302540 is a wasteful number, since it uses less digits than its factorization.

106302540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106302540 is about 10310.3123134074. The cubic root of 106302540 is about 473.7121754900.

The spelling of 106302540 in words is "one hundred six million, three hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 677 1354 2031 2617 2708 3385 4062 5234 6770 7851 8124 10155 10468 13085 13540 15702 20310 26170 31404 39255 40620 52340 78510 157020 1771709 3543418 5315127 7086836 8858545 10630254 17717090 21260508 26575635 35434180 53151270 106302540