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137219860 = 2257099677
BaseRepresentation
bin10000010110111…
…00111100010100
3100120012111021001
420023130330110
5240112013420
621341033044
73254230621
oct1013347424
9316174231
10137219860
1170503348
1239b55784
1322575aab
141431d348
15c0a7b0a
hex82dcf14

137219860 has 24 divisors (see below), whose sum is σ = 288597960. Its totient is φ = 54804864.

The previous prime is 137219839. The next prime is 137219917. The reversal of 137219860 is 68912731.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 131285764 = 2436^2 + 11458^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9342 + ... + 19018.

It is an arithmetic number, because the mean of its divisors is an integer number (12024915).

Almost surely, 2137219860 is an apocalyptic number.

137219860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137219860 is an abundant number, since it is smaller than the sum of its proper divisors (151378100).

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

137219860 is a wasteful number, since it uses less digits than its factorization.

137219860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 137219860 is about 11714.0880993785. The cubic root of 137219860 is about 515.7892946177.

The spelling of 137219860 in words is "one hundred thirty-seven million, two hundred nineteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 709 1418 2836 3545 7090 9677 14180 19354 38708 48385 96770 193540 6860993 13721986 27443972 34304965 68609930 137219860