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129283072 = 210251503
BaseRepresentation
bin1111011010010…
…11010000000000
3100000021021000221
413231023100000
5231044024242
620454552424
73126613402
oct755132000
9300237027
10129283072
1166a82316
1237368714
1320a27379
1413254b72
15b53b167
hex7b4b400

129283072 has 44 divisors (see below), whose sum is σ = 259985376. Its totient is φ = 64256000.

The previous prime is 129283067. The next prime is 129283093. The reversal of 129283072 is 270382921.

It is a super-2 number, since 2×1292830722 = 33428225411514368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256773 + ... + 257275.

Almost surely, 2129283072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129992688).

129283072 is an abundant number, since it is smaller than the sum of its proper divisors (130702304).

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

129283072 is an equidigital number, since it uses as much as digits as its factorization.

129283072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 129283072 is about 11370.2714127676. The cubic root of 129283072 is about 505.6467510046.

The spelling of 129283072 in words is "one hundred twenty-nine million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 503 512 1004 1006 1024 2008 2012 4016 4024 8032 8048 16064 16096 32128 32192 64256 64384 126253 128512 128768 252506 257024 257536 505012 515072 1010024 2020048 4040096 8080192 16160384 32320768 64641536 129283072