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138565784 = 23719314201
BaseRepresentation
bin10000100001001…
…01100010011000
3100122201212112002
420100211202120
5240433101114
621425540132
73301534610
oct1020454230
9318655462
10138565784
1171242585
123a4a4648
13229275b6
141458da40
15c2717de
hex8425898

138565784 has 64 divisors (see below), whose sum is σ = 322713600. Its totient is φ = 54432000.

The previous prime is 138565781. The next prime is 138565787. The reversal of 138565784 is 487565831.

It is an interprime number because it is at equal distance from previous prime (138565781) and next prime (138565787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138565781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30884 + ... + 35084.

It is an arithmetic number, because the mean of its divisors is an integer number (5042400).

Almost surely, 2138565784 is an apocalyptic number.

138565784 is a gapful number since it is divisible by the number (14) 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 138565784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161356800).

138565784 is an abundant number, since it is smaller than the sum of its proper divisors (184147816).

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

138565784 is a wasteful number, since it uses less digits than its factorization.

138565784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4260 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 138565784 is about 11771.3968584871. The cubic root of 138565784 is about 517.4701877075.

Adding to 138565784 its sum of digits (47), we get a palindrome (138565831).

The spelling of 138565784 in words is "one hundred thirty-eight million, five hundred sixty-five thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4201 4712 8246 8402 16492 16804 29407 32984 33608 58814 79819 117628 130231 159638 235256 260462 319276 520924 558733 638552 911617 1041848 1117466 1823234 2234932 2474389 3646468 4469864 4948778 7292936 9897556 17320723 19795112 34641446 69282892 138565784