[go: up one dir, main page]

Search a number
-
+
10280088 = 2333713523
BaseRepresentation
bin100111001101…
…110010011000
3201100021122000
4213031302120
510112430323
61004201000
7153244050
oct47156230
921307560
1010280088
115891645
123539160
13218c1c0
141518560
15d80e43
hex9cdc98

10280088 has 128 divisors (see below), whose sum is σ = 35212800. Its totient is φ = 2706048.

The previous prime is 10280059. The next prime is 10280089. The reversal of 10280088 is 88008201.

10280088 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

10280088 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19395 + ... + 19917.

It is an arithmetic number, because the mean of its divisors is an integer number (275100).

Almost surely, 210280088 is an apocalyptic number.

10280088 is a gapful number since it is divisible by the number (18) 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 10280088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606400).

10280088 is an abundant number, since it is smaller than the sum of its proper divisors (24932712).

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

10280088 is a wasteful number, since it uses less digits than its factorization.

10280088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10280088 is about 3206.2576315699. The cubic root of 10280088 is about 217.4364142307.

Adding to 10280088 its reverse (88008201), we get a palindrome (98288289).

The spelling of 10280088 in words is "ten million, two hundred eighty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 523 546 702 728 756 819 936 1046 1092 1404 1512 1569 1638 2092 2184 2457 2808 3138 3276 3661 4184 4707 4914 6276 6552 6799 7322 9414 9828 10983 12552 13598 14121 14644 18828 19656 20397 21966 27196 28242 29288 32949 37656 40794 43932 47593 54392 56484 61191 65898 81588 87864 95186 98847 112968 122382 131796 142779 163176 183573 190372 197694 244764 263592 285558 367146 380744 395388 428337 489528 571116 734292 790776 856674 1142232 1285011 1468584 1713348 2570022 3426696 5140044 10280088