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10272780 = 22325731263
BaseRepresentation
bin100111001100…
…000000001100
3201022220121100
4213030000030
510112212110
61004103100
7153213540
oct47140014
921286540
1010272780
115887101
123534a90
132188a8b
141515a20
15d7dbc0
hex9cc00c

10272780 has 144 divisors (see below), whose sum is σ = 36900864. Its totient is φ = 2263680.

The previous prime is 10272767. The next prime is 10272803. The reversal of 10272780 is 8727201.

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, 38929 + ... + 39191.

It is an arithmetic number, because the mean of its divisors is an integer number (256256).

Almost surely, 210272780 is an apocalyptic number.

10272780 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 10272780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450432).

10272780 is an abundant number, since it is smaller than the sum of its proper divisors (26628084).

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

10272780 is a wasteful number, since it uses less digits than its factorization.

10272780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10272780 is about 3205.1177825472. The cubic root of 10272780 is about 217.3848776419.

Adding to 10272780 its reverse (8727201), we get a palindrome (18999981).

The spelling of 10272780 in words is "ten million, two hundred seventy-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 263 279 310 315 372 420 434 465 526 558 620 630 651 789 868 930 1052 1085 1116 1260 1302 1315 1395 1578 1841 1860 1953 2170 2367 2604 2630 2790 3156 3255 3682 3906 3945 4340 4734 5260 5523 5580 6510 7364 7812 7890 8153 9205 9468 9765 11046 11835 13020 15780 16306 16569 18410 19530 22092 23670 24459 27615 32612 33138 36820 39060 40765 47340 48918 55230 57071 66276 73377 81530 82845 97836 110460 114142 122295 146754 163060 165690 171213 228284 244590 285355 293508 331380 342426 366885 489180 513639 570710 684852 733770 856065 1027278 1141420 1467540 1712130 2054556 2568195 3424260 5136390 10272780