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272134080 = 2634510499
BaseRepresentation
bin10000001110000…
…110111111000000
3200222001211210000
4100032012333000
51024131242310
643000440000
76513046551
oct2016067700
9628054700
10272134080
1112a6813a9
1277179000
13444c22aa
14281dc328
1518d574c0
hex10386fc0

272134080 has 140 divisors (see below), whose sum is σ = 968121000. Its totient is φ = 72562176.

The previous prime is 272134033. The next prime is 272134103. The reversal of 272134080 is 80431272.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20671 + ... + 31169.

It is an arithmetic number, because the mean of its divisors is an integer number (6915150).

Almost surely, 2272134080 is an apocalyptic number.

272134080 is a gapful number since it is divisible by the number (20) 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 272134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484060500).

272134080 is an abundant number, since it is smaller than the sum of its proper divisors (695986920).

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

272134080 is a wasteful number, since it uses less digits than its factorization.

272134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10509 counting only the distinct ones).

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

The square root of 272134080 is about 16496.4868987309. The cubic root of 272134080 is about 648.0288053039.

The spelling of 272134080 in words is "two hundred seventy-two million, one hundred thirty-four thousand, 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 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 10499 12960 20998 25920 31497 41996 52495 62994 83992 94491 104990 125988 157485 167984 188982 209980 251976 283473 314970 335968 377964 419960 472455 503952 566946 629940 671936 755928 839920 850419 944910 1007904 1133892 1259880 1417365 1511856 1679840 1700838 1889820 2015808 2267784 2519760 2834730 3023712 3359680 3401676 3779640 4252095 4535568 5039520 5669460 6047424 6803352 7559280 8504190 9071136 10079040 11338920 13606704 15118560 17008380 18142272 22677840 27213408 30237120 34016760 45355680 54426816 68033520 90711360 136067040 272134080