Search a number
-
+
138020652 = 223372112371
BaseRepresentation
bin10000011101000…
…00011100101100
3100121201011202000
420032200130230
5240313130102
621410132300
73264104400
oct1016403454
9317634660
10138020652
11709aaa60
123a281090
1322796433
141448b100
15c1b501c
hex83a072c

138020652 has 144 divisors (see below), whose sum is σ = 454285440. Its totient is φ = 35834400.

The previous prime is 138020651. The next prime is 138020653. The reversal of 138020652 is 256020831.

138020652 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 2 + 0 + 652 = 666.

It is an interprime number because it is at equal distance from previous prime (138020651) and next prime (138020653).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (138020651) 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 47 ways as a sum of consecutive naturals, for example, 57027 + ... + 59397.

It is an arithmetic number, because the mean of its divisors is an integer number (3154760).

Almost surely, 2138020652 is an apocalyptic number.

138020652 is a gapful number since it is divisible by the number (12) 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 138020652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227142720).

138020652 is an abundant number, since it is smaller than the sum of its proper divisors (316264788).

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

138020652 is a wasteful number, since it uses less digits than its factorization.

138020652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138020652 is about 11748.2190990805. The cubic root of 138020652 is about 516.7907022820.

The spelling of 138020652 in words is "one hundred thirty-eight million, twenty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2371 2646 2772 3234 4158 4742 4851 5292 6468 7113 8316 9484 9702 14226 14553 16597 19404 21339 26081 28452 29106 33194 42678 49791 52162 58212 64017 66388 78243 85356 99582 104324 116179 128034 149373 156486 182567 199164 232358 234729 256068 298746 312972 348537 365134 448119 464716 469458 547701 597492 697074 704187 730268 896238 938916 1045611 1095402 1277969 1394148 1408374 1643103 1792476 2091222 2190804 2555938 2816748 3136833 3286206 3833907 4182444 4929309 5111876 6273666 6572412 7667814 9858618 11501721 12547332 15335628 19717236 23003442 34505163 46006884 69010326 138020652