Search a number
-
+
129517344 = 25321140883
BaseRepresentation
bin1111011100001…
…00011100100000
3100000201011101200
413232010130200
5231124023334
620504001200
73131610405
oct756043440
9300634350
10129517344
1167122330
1237460200
1320aa9ba8
14132b62ac
15b585799
hex7b84720

129517344 has 72 divisors (see below), whose sum is σ = 401807952. Its totient is φ = 39246720.

The previous prime is 129517343. The next prime is 129517361. The reversal of 129517344 is 443715921.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 129517299 and 129517308.

It is not an unprimeable number, because it can be changed into a prime (129517343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17274 + ... + 23609.

It is an arithmetic number, because the mean of its divisors is an integer number (5580666).

Almost surely, 2129517344 is an apocalyptic number.

It is an amenable number.

129517344 is an abundant number, since it is smaller than the sum of its proper divisors (272290608).

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

129517344 is a wasteful number, since it uses less digits than its factorization.

129517344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40910 (or 40899 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 129517344 is about 11380.5687028373. The cubic root of 129517344 is about 505.9519917791.

The spelling of 129517344 in words is "one hundred twenty-nine million, five hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 40883 81766 122649 163532 245298 327064 367947 449713 490596 654128 735894 899426 981192 1308256 1349139 1471788 1798852 1962384 2698278 2943576 3597704 3924768 4047417 5396556 5887152 7195408 8094834 10793112 11774304 14390816 16189668 21586224 32379336 43172448 64758672 129517344