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140116608 = 273340543
BaseRepresentation
bin10000101101000…
…00001010000000
3100202122122212000
420112200022000
5241332212413
621523104000
73320654142
oct1026401200
9322578760
10140116608
1172101755
123ab12000
132304b448
1414874c92
15c47b073
hex85a0280

140116608 has 64 divisors (see below), whose sum is σ = 413548800. Its totient is φ = 46704384.

The previous prime is 140116591. The next prime is 140116637. The reversal of 140116608 is 806611041.

140116608 is a `hidden beast` number, since 1 + 40 + 1 + 16 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16816 + ... + 23727.

It is an arithmetic number, because the mean of its divisors is an integer number (6461700).

Almost surely, 2140116608 is an apocalyptic number.

140116608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140116608 is an abundant number, since it is smaller than the sum of its proper divisors (273432192).

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

140116608 is an equidigital number, since it uses as much as digits as its factorization.

140116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40566 (or 40548 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 140116608 is about 11837.0861279286. The cubic root of 140116608 is about 519.3935335956.

Adding to 140116608 its reverse (806611041), we get a palindrome (946727649).

The spelling of 140116608 in words is "one hundred forty million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 40543 81086 121629 162172 243258 324344 364887 486516 648688 729774 973032 1094661 1297376 1459548 1946064 2189322 2594752 2919096 3892128 4378644 5189504 5838192 7784256 8757288 11676384 15568512 17514576 23352768 35029152 46705536 70058304 140116608