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272255620 = 225713237311
BaseRepresentation
bin10000001110100…
…100101010000100
3200222022000111111
4100032210222010
51024144134440
643003214404
76514064110
oct2016445204
9628260444
10272255620
1112a75474a
1277217404
1344535700
1428230740
1518d7d4ea
hex103a4a84

272255620 has 144 divisors (see below), whose sum is σ = 729001728. Its totient is φ = 83566080.

The previous prime is 272255611. The next prime is 272255651. The reversal of 272255620 is 26552272.

272255620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875265 + ... + 875575.

It is an arithmetic number, because the mean of its divisors is an integer number (5062512).

Almost surely, 2272255620 is an apocalyptic number.

272255620 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 272255620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500864).

272255620 is an abundant number, since it is smaller than the sum of its proper divisors (456746108).

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

272255620 is a wasteful number, since it uses less digits than its factorization.

272255620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 272255620 is about 16500.1703021514. The cubic root of 272255620 is about 648.1252647385.

The spelling of 272255620 in words is "two hundred seventy-two million, two hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 169 182 185 259 260 311 338 364 370 455 481 518 622 676 740 845 910 962 1036 1183 1244 1295 1555 1690 1820 1924 2177 2366 2405 2590 3110 3367 3380 4043 4354 4732 4810 5180 5915 6220 6253 6734 8086 8708 9620 10885 11507 11830 12506 13468 16172 16835 20215 21770 23014 23660 25012 28301 31265 33670 40430 43540 43771 46028 52559 56602 57535 62530 67340 80549 80860 87542 105118 113204 115070 125060 141505 149591 161098 175084 210236 218855 230140 262795 283010 299182 322196 367913 402745 437710 525590 566020 598364 735826 747955 805490 875420 1047137 1051180 1471652 1495910 1610980 1839565 1944683 2094274 2991820 3679130 3889366 4188548 5235685 7358260 7778732 9723415 10471370 13612781 19446830 20942740 27225562 38893660 54451124 68063905 136127810 272255620