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106280496 = 24327105437
BaseRepresentation
bin1100101010110…
…11011000110000
321101222121102200
412111123120300
5204201433441
614313543200
72430240450
oct625333060
9241877380
10106280496
1154aa1123
122b714b00
131903238a
1410187d60
1594e57b6
hex655b630

106280496 has 60 divisors (see below), whose sum is σ = 339932112. Its totient is φ = 30365568.

The previous prime is 106280479. The next prime is 106280497. The reversal of 106280496 is 694082601.

It is a super-2 number, since 2×1062804962 = 22591087660012032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106280496.

It is not an unprimeable number, because it can be changed into a prime (106280497) 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 11 ways as a sum of consecutive naturals, for example, 51711 + ... + 53726.

Almost surely, 2106280496 is an apocalyptic number.

106280496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106280496 is an abundant number, since it is smaller than the sum of its proper divisors (233651616).

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

106280496 is a wasteful number, since it uses less digits than its factorization.

106280496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105458 (or 105449 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106280496 is about 10309.2432311979. The cubic root of 106280496 is about 473.6794285989.

The spelling of 106280496 in words is "one hundred six million, two hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 105437 210874 316311 421748 632622 738059 843496 948933 1265244 1476118 1686992 1897866 2214177 2530488 2952236 3795732 4428354 5060976 5904472 6642531 7591464 8856708 11808944 13285062 15182928 17713416 26570124 35426832 53140248 106280496