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106337840 = 2457227127
BaseRepresentation
bin1100101011010…
…01011000110000
321102002112002112
412111221120300
5204210302330
614315104452
72430566600
oct625513060
9242075075
10106337840
1155030214
122b742128
13190524cb
14101a0c00
159507795
hex6569630

106337840 has 60 divisors (see below), whose sum is σ = 287611056. Its totient is φ = 36457344.

The previous prime is 106337837. The next prime is 106337849. The reversal of 106337840 is 48733601.

It is a super-2 number, since 2×1063378402 = 22615472431731200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106337797 and 106337806.

It is not an unprimeable number, because it can be changed into a prime (106337849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9644 + ... + 17483.

Almost surely, 2106337840 is an apocalyptic number.

106337840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106337840 is an abundant number, since it is smaller than the sum of its proper divisors (181273216).

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

106337840 is a wasteful number, since it uses less digits than its factorization.

106337840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27154 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 106337840 is about 10312.0240496228. The cubic root of 106337840 is about 473.7646050593.

The spelling of 106337840 in words is "one hundred six million, three hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 27127 54254 108508 135635 189889 217016 271270 379778 434032 542540 759556 949445 1085080 1329223 1519112 1898890 2170160 2658446 3038224 3797780 5316892 6646115 7595560 10633784 13292230 15191120 21267568 26584460 53168920 106337840