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129984480 = 2533530089
BaseRepresentation
bin1111011111101…
…10011111100000
3100001120220012000
413233312133200
5231234000410
620522004000
73135564333
oct757663740
9301526160
10129984480
116741129a
1237646600
1320c116c2
141339861a
15b628dc0
hex7bf67e0

129984480 has 96 divisors (see below), whose sum is σ = 454960800. Its totient is φ = 34661376.

The previous prime is 129984479. The next prime is 129984487. The reversal of 129984480 is 84489921.

129984480 is a `hidden beast` number, since 1 + 2 + 99 + 84 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129984487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10725 + ... + 19364.

It is an arithmetic number, because the mean of its divisors is an integer number (4739175).

Almost surely, 2129984480 is an apocalyptic number.

129984480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129984480 is an abundant number, since it is smaller than the sum of its proper divisors (324976320).

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

129984480 is a wasteful number, since it uses less digits than its factorization.

129984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30113 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 129984480 is about 11401.0736336540. The cubic root of 129984480 is about 506.5595418335.

The spelling of 129984480 in words is "one hundred twenty-nine million, nine hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 30089 60178 90267 120356 150445 180534 240712 270801 300890 361068 451335 481424 541602 601780 722136 812403 902670 962848 1083204 1203560 1354005 1444272 1624806 1805340 2166408 2407120 2708010 2888544 3249612 3610680 4062015 4332816 4814240 5416020 6499224 7221360 8124030 8665632 10832040 12998448 14442720 16248060 21664080 25996896 32496120 43328160 64992240 129984480