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138650220 = 223251971571
BaseRepresentation
bin10000100001110…
…10001001101100
3100122220011100100
420100322021230
5240443301340
621431431100
73302336022
oct1020721154
9318804310
10138650220
117129aa65
123a525490
1322956b67
14145b2712
15c28b830
hex843a26c

138650220 has 144 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 34473600.

The previous prime is 138650219. The next prime is 138650227. The reversal of 138650220 is 22056831.

138650220 is a `hidden beast` number, since 1 + 3 + 8 + 650 + 2 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (138650227) 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, 242535 + ... + 243105.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2138650220 is an apocalyptic number.

138650220 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 138650220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

138650220 is an abundant number, since it is smaller than the sum of its proper divisors (311079060).

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

138650220 is a wasteful number, since it uses less digits than its factorization.

138650220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

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

The square root of 138650220 is about 11774.9828025352. The cubic root of 138650220 is about 517.5752743544.

The spelling of 138650220 in words is "one hundred thirty-eight million, six hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 71 76 90 95 114 142 171 180 190 213 228 284 285 342 355 380 426 570 571 639 684 710 852 855 1065 1140 1142 1278 1349 1420 1710 1713 2130 2284 2556 2698 2855 3195 3420 3426 4047 4260 5139 5396 5710 6390 6745 6852 8094 8565 10278 10849 11420 12141 12780 13490 16188 17130 20235 20556 21698 24282 25695 26980 32547 34260 40470 40541 43396 48564 51390 54245 60705 65094 80940 81082 97641 102780 108490 121410 121623 130188 162164 162735 195282 202705 216980 242820 243246 325470 364869 390564 405410 486492 488205 608115 650940 729738 770279 810820 976410 1216230 1459476 1540558 1824345 1952820 2310837 2432460 3081116 3648690 3851395 4621674 6932511 7297380 7702790 9243348 11554185 13865022 15405580 23108370 27730044 34662555 46216740 69325110 138650220