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134272080 = 243556907
BaseRepresentation
bin10000000000011…
…01010001010000
3100100122201200000
420000031101100
5233333201310
621153530000
73220202535
oct1000152120
9310581600
10134272080
116987a668
1238b73900
1321a83147
1413b92d8c
15bbc44c0
hex800d450

134272080 has 120 divisors (see below), whose sum is σ = 467699232. Its totient is φ = 35800704.

The previous prime is 134272063. The next prime is 134272121. The reversal of 134272080 is 80272431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15987 + ... + 22893.

Almost surely, 2134272080 is an apocalyptic number.

134272080 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 134272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233849616).

134272080 is an abundant number, since it is smaller than the sum of its proper divisors (333427152).

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

134272080 is an equidigital number, since it uses as much as digits as its factorization.

134272080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 134272080 is about 11587.5830094114. The cubic root of 134272080 is about 512.0691028149.

The spelling of 134272080 in words is "one hundred thirty-four million, two hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 6907 9720 13814 19440 20721 27628 34535 41442 55256 62163 69070 82884 103605 110512 124326 138140 165768 186489 207210 248652 276280 310815 331536 372978 414420 497304 552560 559467 621630 745956 828840 932445 994608 1118934 1243260 1491912 1657680 1678401 1864890 2237868 2486520 2797335 2983824 3356802 3729780 4475736 4973040 5594670 6713604 7459560 8392005 8951472 11189340 13427208 14919120 16784010 22378680 26854416 33568020 44757360 67136040 134272080