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129103392 = 25311179683
BaseRepresentation
bin1111011000111…
…11011000100000
322222221010120010
413230133120200
5231022302032
620451044520
73125234505
oct754373040
9288833503
10129103392
116696a320
12372a0740
1320993652
14132094ac
15b502ccc
hex7b1f620

129103392 has 96 divisors (see below), whose sum is σ = 372314880. Its totient is φ = 38846720.

The previous prime is 129103379. The next prime is 129103399. The reversal of 129103392 is 293301921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (129103399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188683 + ... + 189365.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2129103392 is an apocalyptic number.

129103392 is a gapful number since it is divisible by the number (12) 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 129103392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

129103392 is an abundant number, since it is smaller than the sum of its proper divisors (243211488).

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

129103392 is a wasteful number, since it uses less digits than its factorization.

129103392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 129103392 is about 11362.3673589618. The cubic root of 129103392 is about 505.4123900018.

The spelling of 129103392 in words is "one hundred twenty-nine million, one hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 179 264 352 358 528 537 683 716 1056 1074 1366 1432 1969 2049 2148 2732 2864 3938 4098 4296 5464 5728 5907 7513 7876 8196 8592 10928 11814 15026 15752 16392 17184 21856 22539 23628 30052 31504 32784 45078 47256 60104 63008 65568 90156 94512 120208 122257 180312 189024 240416 244514 360624 366771 489028 721248 733542 978056 1344827 1467084 1956112 2689654 2934168 3912224 4034481 5379308 5868336 8068962 10758616 11736672 16137924 21517232 32275848 43034464 64551696 129103392