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122647980 = 223572133209
BaseRepresentation
bin1110100111101…
…11010110101100
322112210011101210
413103313112230
5222344213410
620100434420
73016330200
oct723672654
9275704353
10122647980
1163260274
12350a8a10
131c543290
1412408b00
15ab7a220
hex74f75ac

122647980 has 144 divisors (see below), whose sum is σ = 430345440. Its totient is φ = 25869312.

The previous prime is 122647969. The next prime is 122648011. The reversal of 122647980 is 89746221.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36616 + ... + 39824.

It is an arithmetic number, because the mean of its divisors is an integer number (2988510).

Almost surely, 2122647980 is an apocalyptic number.

122647980 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 122647980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215172720).

122647980 is an abundant number, since it is smaller than the sum of its proper divisors (307697460).

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

122647980 is a wasteful number, since it uses less digits than its factorization.

122647980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 122647980 is about 11074.6548478948. The cubic root of 122647980 is about 496.8440957797.

The spelling of 122647980 in words is "one hundred twenty-two million, six hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3209 3822 5460 6370 6418 7644 9555 9627 12740 12836 16045 19110 19254 22463 32090 38220 38508 41717 44926 48135 64180 67389 83434 89852 96270 112315 125151 134778 157241 166868 192540 208585 224630 250302 269556 292019 314482 336945 417170 449260 471723 500604 584038 625755 628964 673890 786205 834340 876057 943446 1168076 1251510 1347780 1460095 1572410 1752114 1886892 2044133 2358615 2503020 2920190 3144820 3504228 4088266 4380285 4717230 5840380 6132399 8176532 8760570 9434460 10220665 12264798 17521140 20441330 24529596 30661995 40882660 61323990 122647980