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129341600 = 25521071511
BaseRepresentation
bin1111011010110…
…01100010100000
3100000101020022122
413231121202200
5231102412400
620500123412
73130246133
oct755314240
9300336278
10129341600
1167012293
1237396568
1320a47bbb
141326c21a
15b54d685
hex7b598a0

129341600 has 72 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 51219200.

The previous prime is 129341591. The next prime is 129341651. The reversal of 129341600 is 6143921.

It is a self number, because there is not a number n which added to its sum of digits gives 129341600.

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 11 ways as a sum of consecutive naturals, for example, 84845 + ... + 86355.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2129341600 is an apocalyptic number.

129341600 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 129341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

129341600 is an abundant number, since it is smaller than the sum of its proper divisors (189575488).

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

129341600 is a wasteful number, since it uses less digits than its factorization.

129341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 129341600 is about 11372.8448507838. The cubic root of 129341600 is about 505.7230436127.

The spelling of 129341600 in words is "one hundred twenty-nine million, three hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 400 428 535 800 856 1070 1511 1712 2140 2675 3022 3424 4280 5350 6044 7555 8560 10700 12088 15110 17120 21400 24176 30220 37775 42800 48352 60440 75550 85600 120880 151100 161677 241760 302200 323354 604400 646708 808385 1208800 1293416 1616770 2586832 3233540 4041925 5173664 6467080 8083850 12934160 16167700 25868320 32335400 64670800 129341600