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129272880 = 243511232129
BaseRepresentation
bin1111011010010…
…00110000110000
3100000020202001110
413231020300300
5231043213010
620454433320
73126541602
oct755106060
9300222043
10129272880
1166a756a0
1237362840
1320a22839
1413251172
15b538120
hex7b48c30

129272880 has 160 divisors (see below), whose sum is σ = 456399360. Its totient is φ = 29962240.

The previous prime is 129272873. The next prime is 129272881. The reversal of 129272880 is 88272921.

It is a super-2 number, since 2×1292728802 = 33422955006988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129272881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59656 + ... + 61784.

It is an arithmetic number, because the mean of its divisors is an integer number (2852496).

Almost surely, 2129272880 is an apocalyptic number.

129272880 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 129272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228199680).

129272880 is an abundant number, since it is smaller than the sum of its proper divisors (327126480).

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

129272880 is a wasteful number, since it uses less digits than its factorization.

129272880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 129272880 is about 11369.8232176230. The cubic root of 129272880 is about 505.6334631420.

The spelling of 129272880 in words is "one hundred twenty-nine million, two hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2129 2530 2640 2760 3036 3795 4048 4258 5060 5520 6072 6387 7590 8516 10120 10645 12144 12774 15180 17032 20240 21290 23419 25548 30360 31935 34064 42580 46838 48967 51096 60720 63870 70257 85160 93676 97934 102192 117095 127740 140514 146901 170320 187352 195868 234190 244835 255480 281028 293802 351285 374704 391736 468380 489670 510960 538637 562056 587604 702570 734505 783472 936760 979340 1077274 1124112 1175208 1405140 1469010 1615911 1873520 1958680 2154548 2350416 2693185 2810280 2938020 3231822 3917360 4309096 5386370 5620560 5876040 6463644 8079555 8618192 10772740 11752080 12927288 16159110 21545480 25854576 32318220 43090960 64636440 129272880