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10480932 = 223271119199
BaseRepresentation
bin100111111110…
…110100100100
3201201111010200
4213332310210
510140342212
61012350500
7155041440
oct47766444
921644120
1010480932
115a09530
123615430
13222c747
14156b820
15dc06dc
hex9fed24

10480932 has 144 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 2566080.

The previous prime is 10480901. The next prime is 10480933. The reversal of 10480932 is 23908401.

It is a junction number, because it is equal to n+sod(n) for n = 10480896 and 10480905.

It is not an unprimeable number, because it can be changed into a prime (10480933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52569 + ... + 52767.

Almost surely, 210480932 is an apocalyptic number.

10480932 is a gapful number since it is divisible by the number (12) 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 10480932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

10480932 is an abundant number, since it is smaller than the sum of its proper divisors (24463068).

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

10480932 is a wasteful number, since it uses less digits than its factorization.

10480932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10480932 is about 3237.4267559282. The cubic root of 10480932 is about 218.8433232284.

The spelling of 10480932 in words is "ten million, four hundred eighty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 199 209 228 231 252 266 308 342 396 398 399 418 462 532 597 627 684 693 796 798 836 924 1194 1197 1254 1386 1393 1463 1596 1791 1881 2189 2388 2394 2508 2772 2786 2926 3582 3762 3781 4179 4378 4389 4788 5572 5852 6567 7164 7524 7562 8358 8756 8778 11343 12537 13134 13167 15124 15323 16716 17556 19701 22686 25074 26268 26334 26467 30646 34029 39402 41591 45372 45969 50148 52668 52934 61292 68058 78804 79401 83182 91938 105868 124773 136116 137907 158802 166364 183876 238203 249546 275814 291137 317604 374319 476406 499092 551628 582274 748638 873411 952812 1164548 1497276 1746822 2620233 3493644 5240466 10480932