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10400481 = 347131783
BaseRepresentation
bin100111101011…
…001011100001
3201120101210000
4213223023201
510130303411
61010530213
7154255050
oct47531341
921511700
1010400481
115964043
123596969
132201c40
14154a397
15da6956
hex9eb2e1

10400481 has 80 divisors (see below), whose sum is σ = 20490624. Its totient is φ = 5101056.

The previous prime is 10400479. The next prime is 10400491. The reversal of 10400481 is 18400401.

It is not a de Polignac number, because 10400481 - 21 = 10400479 is a prime.

It is a super-2 number, since 2×104004812 = 216340010062722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10400431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125266 + ... + 125348.

Almost surely, 210400481 is an apocalyptic number.

It is an amenable number.

10400481 is a deficient number, since it is larger than the sum of its proper divisors (10090143).

10400481 is a wasteful number, since it uses less digits than its factorization.

10400481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10400481 is about 3224.9776743413. The cubic root of 10400481 is about 218.2819416884.

Adding to 10400481 its reverse (18400401), we get a palindrome (28800882).

The spelling of 10400481 in words is "ten million, four hundred thousand, four hundred eighty-one".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 81 83 91 117 119 153 189 221 249 273 351 357 459 567 581 663 747 819 1053 1071 1079 1377 1411 1547 1743 1989 2241 2457 3213 3237 4233 4641 5229 5967 6723 7371 7553 9639 9711 9877 12699 13923 15687 17901 18343 22659 29133 29631 38097 41769 47061 55029 67977 87399 88893 114291 125307 128401 165087 203931 266679 385203 495261 611793 800037 1155609 1485783 3466827 10400481