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106492260 = 22357253553
BaseRepresentation
bin1100101100011…
…11000101100100
321102101100220210
412112033011210
5204230223020
614322255420
72432112030
oct626170544
9242340823
10106492260
1155126236
122b7b7570
13190a7894
14102011c0
1595383e0
hex658f164

106492260 has 48 divisors (see below), whose sum is σ = 340776576. Its totient is φ = 24340992.

The previous prime is 106492259. The next prime is 106492289. The reversal of 106492260 is 62294601.

It is a super-2 number, since 2×1064922602 = 22681202879815200, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126357 + ... + 127196.

It is an arithmetic number, because the mean of its divisors is an integer number (7099512).

Almost surely, 2106492260 is an apocalyptic number.

106492260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106492260 is an abundant number, since it is smaller than the sum of its proper divisors (234284316).

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

106492260 is a wasteful number, since it uses less digits than its factorization.

106492260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253572 (or 253570 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106492260 is about 10319.5087092361. The cubic root of 106492260 is about 473.9938221346.

The spelling of 106492260 in words is "one hundred six million, four hundred ninety-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 253553 507106 760659 1014212 1267765 1521318 1774871 2535530 3042636 3549742 3803295 5071060 5324613 7099484 7606590 8874355 10649226 15213180 17748710 21298452 26623065 35497420 53246130 106492260