Search a number
-
+
129772680 = 23352989419
BaseRepresentation
bin1111011110000…
…10110010001000
3100001012010122120
413233002302020
5231210211210
620513251240
73134023002
oct757026210
9301163576
10129772680
1167287154
1237563b20
1320b6918b
1413341372
15b5d6270
hex7bc2c88

129772680 has 128 divisors (see below), whose sum is σ = 408240000. Its totient is φ = 32958464.

The previous prime is 129772637. The next prime is 129772723. The reversal of 129772680 is 86277921.

It is an interprime number because it is at equal distance from previous prime (129772637) and next prime (129772723).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309511 + ... + 309929.

It is an arithmetic number, because the mean of its divisors is an integer number (3189375).

Almost surely, 2129772680 is an apocalyptic number.

129772680 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 129772680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120000).

129772680 is an abundant number, since it is smaller than the sum of its proper divisors (278467320).

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

129772680 is a wasteful number, since it uses less digits than its factorization.

129772680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 129772680 is about 11391.7812478997. The cubic root of 129772680 is about 506.2842586175.

The spelling of 129772680 in words is "one hundred twenty-nine million, seven hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 89 116 120 145 174 178 232 267 290 348 356 419 435 445 534 580 696 712 838 870 890 1068 1160 1257 1335 1676 1740 1780 2095 2136 2514 2581 2670 3352 3480 3560 4190 5028 5162 5340 6285 7743 8380 10056 10324 10680 12151 12570 12905 15486 16760 20648 24302 25140 25810 30972 36453 37291 38715 48604 50280 51620 60755 61944 72906 74582 77430 97208 103240 111873 121510 145812 149164 154860 182265 186455 223746 243020 291624 298328 309720 364530 372910 447492 486040 559365 729060 745820 894984 1081439 1118730 1458120 1491640 2162878 2237460 3244317 4325756 4474920 5407195 6488634 8651512 10814390 12977268 16221585 21628780 25954536 32443170 43257560 64886340 129772680