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129826140 = 223531223313
BaseRepresentation
bin1111011110011…
…11110101011100
3100001021211222120
413233033311130
5231213414030
620514342540
73134334603
oct757176534
9301254876
10129826140
1167313334
123758aa50
1320b87602
1413356a3a
15b5e7010
hex7bcfd5c

129826140 has 96 divisors (see below), whose sum is σ = 378126336. Its totient is φ = 33246720.

The previous prime is 129826133. The next prime is 129826157. The reversal of 129826140 is 41628921.

129826140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

129826140 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414624 + ... + 414936.

It is an arithmetic number, because the mean of its divisors is an integer number (3938816).

Almost surely, 2129826140 is an apocalyptic number.

129826140 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 129826140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189063168).

129826140 is an abundant number, since it is smaller than the sum of its proper divisors (248300196).

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

129826140 is a wasteful number, since it uses less digits than its factorization.

129826140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 129826140 is about 11394.1274347797. The cubic root of 129826140 is about 506.3537705278.

The spelling of 129826140 in words is "one hundred twenty-nine million, eight hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 223 310 313 372 446 465 620 626 669 892 930 939 1115 1252 1338 1565 1860 1878 2230 2676 3130 3345 3756 4460 4695 6260 6690 6913 9390 9703 13380 13826 18780 19406 20739 27652 29109 34565 38812 41478 48515 58218 69130 69799 82956 97030 103695 116436 138260 139598 145545 194060 207390 209397 279196 291090 348995 414780 418794 582180 697990 837588 1046985 1395980 2093970 2163769 4187940 4327538 6491307 8655076 10818845 12982614 21637690 25965228 32456535 43275380 64913070 129826140