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272014470 = 233571311071
BaseRepresentation
bin10000001101101…
…001110010000110
3200221211202201000
4100031221302012
51024113430340
642554114130
76512041050
oct2015516206
9627752630
10272014470
1112a5aa552
127711b946
134447ca10
14281aa8d0
1518d31d30
hex10369c86

272014470 has 128 divisors (see below), whose sum is σ = 892846080. Its totient is φ = 57386880.

The previous prime is 272014447. The next prime is 272014471. The reversal of 272014470 is 74410272.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272014471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19035 + ... + 30105.

It is an arithmetic number, because the mean of its divisors is an integer number (6975360).

Almost surely, 2272014470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272014470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446423040).

272014470 is an abundant number, since it is smaller than the sum of its proper divisors (620831610).

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

272014470 is a wasteful number, since it uses less digits than its factorization.

272014470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11107 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 272014470 is about 16492.8611829482. The cubic root of 272014470 is about 647.9338495573.

It can be divided in two parts, 272014 and 470, that added together give a square (272484 = 5222).

The spelling of 272014470 in words is "two hundred seventy-two million, fourteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 11071 12285 22142 24570 33213 55355 66426 77497 99639 110710 143923 154994 166065 199278 232491 287846 298917 332130 387485 431769 464982 498195 597834 697473 719615 774970 863538 996390 1007461 1162455 1295307 1394946 1439230 1494585 2014922 2092419 2158845 2324910 2590614 2989170 3022383 3487365 3885921 4184838 4317690 5037305 6044766 6476535 6974730 7771842 9067149 10074610 10462095 12953070 15111915 18134298 19429605 20924190 27201447 30223830 38859210 45335745 54402894 90671490 136007235 272014470