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129290112 = 2732716033
BaseRepresentation
bin1111011010011…
…00111110000000
3100000021121200200
413231030332000
5231044240422
620455045200
73126643050
oct755147600
9300247620
10129290112
1166a87636
1237370800
1320a2a633
1413257560
15b53d2ac
hex7b4cf80

129290112 has 96 divisors (see below), whose sum is σ = 425221680. Its totient is φ = 36937728.

The previous prime is 129290111. The next prime is 129290113. The reversal of 129290112 is 211092921.

It is an interprime number because it is at equal distance from previous prime (129290111) and next prime (129290113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129290111) 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, 48 + ... + 16080.

Almost surely, 2129290112 is an apocalyptic number.

129290112 is a gapful number since it is divisible by the number (12) 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 129290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212610840).

129290112 is an abundant number, since it is smaller than the sum of its proper divisors (295931568).

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

129290112 is a wasteful number, since it uses less digits than its factorization.

129290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16060 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 129290112 is about 11370.5809877948. The cubic root of 129290112 is about 505.6559290263.

The spelling of 129290112 in words is "one hundred twenty-nine million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 16033 32066 48099 64132 96198 112231 128264 144297 192396 224462 256528 288594 336693 384792 448924 513056 577188 673386 769584 897848 1010079 1026112 1154376 1346772 1539168 1795696 2020158 2052224 2308752 2693544 3078336 3591392 4040316 4617504 5387088 6156672 7182784 8080632 9235008 10774176 14365568 16161264 18470016 21548352 32322528 43096704 64645056 129290112