Search a number
-
+
137114390 = 2571958777
BaseRepresentation
bin10000010110000…
…11001100010110
3100120000010120202
420023003030112
5240100130030
621334500502
73253311260
oct1013031426
9316003522
10137114390
1170441086
1239b04732
1322539a9a
14142d2b30
15c086745
hex82c3316

137114390 has 16 divisors (see below), whose sum is σ = 282064032. Its totient is φ = 47010624.

The previous prime is 137114357. The next prime is 137114399. The reversal of 137114390 is 93411731.

It is a happy number.

It is a super-3 number, since 3×1371143903 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137114399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979319 + ... + 979458.

It is an arithmetic number, because the mean of its divisors is an integer number (17629002).

Almost surely, 2137114390 is an apocalyptic number.

137114390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137114390 is an abundant number, since it is smaller than the sum of its proper divisors (144949642).

137114390 is a wasteful number, since it uses less digits than its factorization.

137114390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958791.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 137114390 is about 11709.5853897565. The cubic root of 137114390 is about 515.6571120007.

The spelling of 137114390 in words is "one hundred thirty-seven million, one hundred fourteen thousand, three hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 1958777 3917554 9793885 13711439 19587770 27422878 68557195 137114390