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129256960 = 29577213
BaseRepresentation
bin1111011010001…
…00111000000000
3100000012221012211
413231010320000
5231042210320
620454231504
73126444310
oct755047000
9300187184
10129256960
1166a64738
1237355594
1320a18511
1413249440
15b53355a
hex7b44e00

129256960 has 80 divisors (see below), whose sum is σ = 354236256. Its totient is φ = 44310528.

The previous prime is 129256931. The next prime is 129256961. The reversal of 129256960 is 69652921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129256961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14314 + ... + 21526.

Almost surely, 2129256960 is an apocalyptic number.

129256960 is a gapful number since it is divisible by the number (10) 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 129256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177118128).

129256960 is an abundant number, since it is smaller than the sum of its proper divisors (224979296).

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

129256960 is an frugal number, since it uses more digits than its factorization.

129256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 129256960 is about 11369.1230972314. The cubic root of 129256960 is about 505.6127059778.

The spelling of 129256960 in words is "one hundred twenty-nine million, two hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 7213 8960 14426 17920 28852 36065 50491 57704 72130 100982 115408 144260 201964 230816 252455 288520 403928 461632 504910 577040 807856 923264 1009820 1154080 1615712 1846528 2019640 2308160 3231424 3693056 4039280 4616320 6462848 8078560 9232640 12925696 16157120 18465280 25851392 32314240 64628480 129256960