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138497040 = 24345112967
BaseRepresentation
bin10000100000101…
…00110000010000
3100122121101020000
420100110300100
5240423401130
621424250000
73301130313
oct1020246020
9318541200
10138497040
11711a5970
123a470900
1322902216
141457297a
15c25b260
hex8414c10

138497040 has 400 divisors, whose sum is σ = 550946880. Its totient is φ = 31933440.

The previous prime is 138497039. The next prime is 138497041. The reversal of 138497040 is 40794831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138497039) and next prime (138497041).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138496986 and 138497004.

It is not an unprimeable number, because it can be changed into a prime (138497041) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2067087 + ... + 2067153.

Almost surely, 2138497040 is an apocalyptic number.

138497040 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 138497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275473440).

138497040 is an abundant number, since it is smaller than the sum of its proper divisors (412449840).

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

138497040 is a wasteful number, since it uses less digits than its factorization.

138497040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138497040 is about 11768.4765369184. The cubic root of 138497040 is about 517.3845993467.

The spelling of 138497040 in words is "one hundred thirty-eight million, four hundred ninety-seven thousand, forty".