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129006720 = 2732522397
BaseRepresentation
bin1111011000001…
…11110010000000
322222202012221200
413230013302000
5231011203340
620445021200
73124352613
oct754076200
9288665850
10129006720
1166903727
1237254800
132095b64b
14131c217a
15b4d4330
hex7b07c80

129006720 has 96 divisors (see below), whose sum is σ = 445496220. Its totient is φ = 34400256.

The previous prime is 129006719. The next prime is 129006737. The reversal of 129006720 is 27600921.

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 6594624 = 11064^2 + 2568^2 .

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

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, 5439 + ... + 16958.

Almost surely, 2129006720 is an apocalyptic number.

129006720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129006720 is an abundant number, since it is smaller than the sum of its proper divisors (316489500).

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

129006720 is a wasteful number, since it uses less digits than its factorization.

129006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22422 (or 22407 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 129006720 is about 11358.1125192525. The cubic root of 129006720 is about 505.2862083782.

The spelling of 129006720 in words is "one hundred twenty-nine million, six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 22397 44794 67191 89588 111985 134382 179176 201573 223970 268764 335955 358352 403146 447940 537528 671910 716704 806292 895880 1007865 1075056 1343820 1433408 1612584 1791760 2015730 2150112 2687640 2866816 3225168 3583520 4031460 4300224 5375280 6450336 7167040 8062920 8600448 10750560 12900672 14334080 16125840 21501120 25801344 32251680 43002240 64503360 129006720