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129972780 = 223257293557
BaseRepresentation
bin1111011111100…
…11101000101100
3100001120022010200
413233303220230
5231233112110
620521433500
73135515250
oct757635054
9301508120
10129972780
1167403523
123763b890
1320c09292
1413394260
15b6256c0
hex7bf3a2c

129972780 has 144 divisors (see below), whose sum is σ = 466240320. Its totient is φ = 28675584.

The previous prime is 129972763. The next prime is 129972833. The reversal of 129972780 is 87279921.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34762 + ... + 38318.

It is an arithmetic number, because the mean of its divisors is an integer number (3237780).

Almost surely, 2129972780 is an apocalyptic number.

129972780 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 129972780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233120160).

129972780 is an abundant number, since it is smaller than the sum of its proper divisors (336267540).

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

129972780 is a wasteful number, since it uses less digits than its factorization.

129972780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 129972780 is about 11400.5605125362. The cubic root of 129972780 is about 506.5443427767.

The spelling of 129972780 in words is "one hundred twenty-nine million, nine hundred seventy-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3557 3654 4060 5220 6090 7114 7308 9135 10671 12180 14228 17785 18270 21342 24899 32013 35570 36540 42684 49798 53355 64026 71140 74697 99596 103153 106710 124495 128052 149394 160065 206306 213420 224091 248990 298788 309459 320130 373485 412612 448182 497980 515765 618918 640260 722071 746970 896364 928377 1031530 1120455 1237836 1444142 1493940 1547295 1856754 2063060 2166213 2240910 2888284 3094590 3610355 3713508 4332426 4481820 4641885 6189180 6498639 7220710 8664852 9283770 10831065 12997278 14441420 18567540 21662130 25994556 32493195 43324260 64986390 129972780