Search a number
-
+
129047296 = 2872331101
BaseRepresentation
bin1111011000100…
…01101100000000
322222211021121111
413230101230000
5231014003141
620445533104
73124612120
oct754215400
9288737544
10129047296
1166931164
1237274194
1320973c61
14131d2c80
15b4e1381
hex7b11b00

129047296 has 144 divisors (see below), whose sum is σ = 320237568. Its totient is φ = 50688000.

The previous prime is 129047251. The next prime is 129047309. The reversal of 129047296 is 692740921.

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 15 ways as a sum of consecutive naturals, for example, 1277646 + ... + 1277746.

It is an arithmetic number, because the mean of its divisors is an integer number (2223872).

Almost surely, 2129047296 is an apocalyptic number.

129047296 is a gapful number since it is divisible by the number (16) 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 129047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).

129047296 is an abundant number, since it is smaller than the sum of its proper divisors (191190272).

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

129047296 is a wasteful number, since it uses less digits than its factorization.

129047296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 129047296 is about 11359.8985910967. The cubic root of 129047296 is about 505.3391780841.

The spelling of 129047296 in words is "one hundred twenty-nine million, forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 101 112 124 128 161 184 202 217 224 248 256 322 368 404 434 448 496 644 707 713 736 808 868 896 992 1288 1414 1426 1472 1616 1736 1792 1984 2323 2576 2828 2852 2944 3131 3232 3472 3968 4646 4991 5152 5656 5704 5888 6262 6464 6944 7936 9292 9982 10304 11312 11408 12524 12928 13888 16261 18584 19964 20608 21917 22624 22816 25048 25856 27776 32522 37168 39928 41216 43834 45248 45632 50096 55552 65044 72013 74336 79856 87668 90496 91264 100192 130088 144026 148672 159712 175336 180992 182528 200384 260176 288052 297344 319424 350672 400768 504091 520352 576104 594688 638848 701344 801536 1008182 1040704 1152208 1277696 1402688 2016364 2081408 2304416 2805376 4032728 4162816 4608832 5610752 8065456 9217664 16130912 18435328 32261824 64523648 129047296