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129795414 = 23724310267
BaseRepresentation
bin1111011110010…
…00010101010110
3100001020021211120
413233020111112
5231211423124
620513544410
73134146200
oct757102526
9301207746
10129795414
11672a2241
1237575106
1320b76628
1413349770
15b5dcd79
hex7bc8556

129795414 has 48 divisors (see below), whose sum is σ = 309025728. Its totient is φ = 36218448.

The previous prime is 129795401. The next prime is 129795437. The reversal of 129795414 is 414597921.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7509 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (6438036).

Almost surely, 2129795414 is an apocalyptic number.

129795414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129795414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154512864).

129795414 is an abundant number, since it is smaller than the sum of its proper divisors (179230314).

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

129795414 is a wasteful number, since it uses less digits than its factorization.

129795414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10322 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 129795414 is about 11392.7790288410. The cubic root of 129795414 is about 506.3138210654.

The spelling of 129795414 in words is "one hundred twenty-nine million, seven hundred ninety-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 6321 10267 12642 20534 30801 61602 71869 143738 215607 431214 441481 503083 882962 1006166 1324443 1509249 2648886 3018498 3090367 6180734 9271101 18542202 21632569 43265138 64897707 129795414