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129095424 = 283319983
BaseRepresentation
bin1111011000111…
…01011100000000
322222220201122000
413230131130000
5231022023144
620450544000
73125202333
oct754353400
9288821560
10129095424
1166964337
1237298000
132098cb33
141320661a
15b500769
hex7b1d700

129095424 has 144 divisors (see below), whose sum is σ = 402259200. Its totient is φ = 40725504.

The previous prime is 129095423. The next prime is 129095441. The reversal of 129095424 is 424590921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129095423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 130837 + ... + 131819.

Almost surely, 2129095424 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 129095424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201129600).

129095424 is an abundant number, since it is smaller than the sum of its proper divisors (273163776).

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

129095424 is an equidigital number, since it uses as much as digits as its factorization.

129095424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 129095424 is about 11362.0167223957. The cubic root of 129095424 is about 505.4019921113.

The spelling of 129095424 in words is "one hundred twenty-nine million, ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 983 1026 1152 1216 1368 1728 1824 1966 2052 2304 2432 2736 2949 3456 3648 3932 4104 4864 5472 5898 6912 7296 7864 8208 8847 10944 11796 14592 15728 16416 17694 18677 21888 23592 26541 31456 32832 35388 37354 43776 47184 53082 56031 62912 65664 70776 74708 94368 106164 112062 125824 131328 141552 149416 168093 188736 212328 224124 251648 283104 298832 336186 377472 424656 448248 504279 566208 597664 672372 754944 849312 896496 1008558 1132416 1195328 1344744 1698624 1792992 2017116 2264832 2390656 2689488 3397248 3585984 4034232 4781312 5378976 6794496 7171968 8068464 10757952 14343936 16136928 21515904 32273856 43031808 64547712 129095424