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129430340 = 225132149257
BaseRepresentation
bin1111011011011…
…11001101000100
3100000112202001022
413231233031010
5231113232330
620502050312
73131065634
oct755571504
9300482038
10129430340
1167072a26
1237419998
1320a79400
14132926c4
15b569ae5
hex7b6f344

129430340 has 72 divisors (see below), whose sum is σ = 297448200. Its totient is φ = 47284224.

The previous prime is 129430331. The next prime is 129430391. The reversal of 129430340 is 43034921.

It can be written as a sum of positive squares in 12 ways, for example, as 59105344 + 70324996 = 7688^2 + 8386^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503492 + ... + 503748.

It is an arithmetic number, because the mean of its divisors is an integer number (4131225).

Almost surely, 2129430340 is an apocalyptic number.

129430340 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 129430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148724100).

129430340 is an abundant number, since it is smaller than the sum of its proper divisors (168017860).

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

129430340 is a wasteful number, since it uses less digits than its factorization.

129430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 129430340 is about 11376.7455803494. The cubic root of 129430340 is about 505.8386743750.

The spelling of 129430340 in words is "one hundred twenty-nine million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 169 257 260 298 338 514 596 676 745 845 1028 1285 1490 1690 1937 2570 2980 3341 3380 3874 5140 6682 7748 9685 13364 16705 19370 25181 33410 38293 38740 43433 50362 66820 76586 86866 100724 125905 153172 173732 191465 217165 251810 382930 434330 497809 503620 765860 868660 995618 1991236 2489045 4978090 6471517 9956180 12943034 25886068 32357585 64715170 129430340