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138514160 = 24513113217
BaseRepresentation
bin10000100000110…
…00111011110000
3100122122020201002
420100120323300
5240424423120
621424501132
73301231241
oct1020307360
9318566632
10138514160
1171207814
123a47a7a8
1322909c55
1414578cc8
15c261375
hex8418ef0

138514160 has 40 divisors (see below), whose sum is σ = 324528336. Its totient is φ = 54978560.

The previous prime is 138514153. The next prime is 138514183. The reversal of 138514160 is 61415831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 3872 + ... + 17088.

Almost surely, 2138514160 is an apocalyptic number.

138514160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138514160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162264168).

138514160 is an abundant number, since it is smaller than the sum of its proper divisors (186014176).

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

138514160 is a wasteful number, since it uses less digits than its factorization.

138514160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 138514160 is about 11769.2038813167. The cubic root of 138514160 is about 517.4059169128.

Adding to 138514160 its reverse (61415831), we get a palindrome (199929991).

The spelling of 138514160 in words is "one hundred thirty-eight million, five hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 13217 26434 52868 66085 105736 132170 211472 264340 528680 1057360 1731427 3462854 6925708 8657135 13851416 17314270 27702832 34628540 69257080 138514160