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138818680 = 235711133467
BaseRepresentation
bin10000100011000…
…11010001111000
3100200012201102121
420101203101320
5241014144210
621435211024
73303640120
oct1021432170
9320181377
10138818680
11713a5590
123a5a6a74
13229b5740
1414617c80
15c2c16da
hex8463478

138818680 has 128 divisors (see below), whose sum is σ = 419489280. Its totient is φ = 39928320.

The previous prime is 138818671. The next prime is 138818689. The reversal of 138818680 is 86818831.

It is an interprime number because it is at equal distance from previous prime (138818671) and next prime (138818689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138818689) 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 31 ways as a sum of consecutive naturals, for example, 38307 + ... + 41773.

It is an arithmetic number, because the mean of its divisors is an integer number (3277260).

Almost surely, 2138818680 is an apocalyptic number.

138818680 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 138818680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640).

138818680 is an abundant number, since it is smaller than the sum of its proper divisors (280670600).

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

138818680 is a wasteful number, since it uses less digits than its factorization.

138818680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The square root of 138818680 is about 11782.1339323571. The cubic root of 138818680 is about 517.7848074810.

It can be divided in two parts, 138 and 818680, that added together give a palindrome (818818).

The spelling of 138818680 in words is "one hundred thirty-eight million, eight hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3467 3640 4004 5005 5720 6934 8008 10010 13868 17335 20020 24269 27736 34670 38137 40040 45071 48538 69340 76274 90142 97076 121345 138680 152548 180284 190685 194152 225355 242690 266959 305096 315497 360568 381370 450710 485380 495781 533918 630994 762740 901420 970760 991562 1067836 1261988 1334795 1525480 1577485 1802840 1983124 2135672 2478905 2523976 2669590 3154970 3470467 3966248 4957810 5339180 6309940 6940934 9915620 10678360 12619880 13881868 17352335 19831240 27763736 34704670 69409340 138818680