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129710016 = 2632435237
BaseRepresentation
bin1111011101100…
…11011111000000
3100001001221200200
413232303133000
5231201210031
620512045200
73133342212
oct756633700
9301057620
10129710016
1167244067
1237533800
1320b467b7
14133265b2
15b5c28e6
hex7bb37c0

129710016 has 84 divisors (see below), whose sum is σ = 380509272. Its totient is φ = 42223104.

The previous prime is 129710003. The next prime is 129710029. The reversal of 129710016 is 610017921.

It is an interprime number because it is at equal distance from previous prime (129710003) and next prime (129710029).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22150 + ... + 27386.

Almost surely, 2129710016 is an apocalyptic number.

129710016 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 129710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190254636).

129710016 is an abundant number, since it is smaller than the sum of its proper divisors (250799256).

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

129710016 is a wasteful number, since it uses less digits than its factorization.

129710016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 129710016 is about 11389.0305118566. The cubic root of 129710016 is about 506.2027548046.

Adding to 129710016 its reverse (610017921), we get a palindrome (739727937).

The spelling of 129710016 in words is "one hundred twenty-nine million, seven hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 5237 6192 8256 10474 12384 15711 20948 24768 31422 41896 47133 62844 83792 94266 125688 167584 188532 225191 251376 335168 377064 450382 502752 675573 754128 900764 1005504 1351146 1508256 1801528 2026719 2702292 3016512 3603056 4053438 5404584 7206112 8106876 10809168 14412224 16213752 21618336 32427504 43236672 64855008 129710016