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138635658 = 23373111831
BaseRepresentation
bin10000100001101…
…10100110001010
3100122212102101000
420100312212022
5240442320113
621431235430
73302245410
oct1020664612
9318772330
10138635658
1171290027
123a518b76
1322950345
14145ab2b0
15c287373
hex843698a

138635658 has 64 divisors (see below), whose sum is σ = 363479040. Its totient is φ = 38329200.

The previous prime is 138635641. The next prime is 138635669. The reversal of 138635658 is 856536831.

138635658 is a `hidden beast` number, since 1 + 3 + 8 + 635 + 6 + 5 + 8 = 666.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 5803 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (5679360).

Almost surely, 2138635658 is an apocalyptic number.

138635658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138635658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181739520).

138635658 is an abundant number, since it is smaller than the sum of its proper divisors (224843382).

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

138635658 is a wasteful number, since it uses less digits than its factorization.

138635658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880 (or 11874 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 138635658 is about 11774.3644414465. The cubic root of 138635658 is about 517.5571539480.

The spelling of 138635658 in words is "one hundred thirty-eight million, six hundred thirty-five thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 11831 23662 35493 70986 82817 106479 165634 212958 248451 319437 366761 496902 638874 733522 745353 1100283 1490706 2200566 2236059 2567327 3300849 4472118 5134654 6601698 7701981 9902547 15403962 19805094 23105943 46211886 69317829 138635658