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10406396 = 227111323113
BaseRepresentation
bin100111101100…
…100111111100
3201120200220002
4213230213330
510131001041
61011013432
7154311230
oct47544774
921520802
1010406396
115968530
12359a278
132204840
14154c5c0
15da859b
hex9ec9fc

10406396 has 96 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 3548160.

The previous prime is 10406393. The next prime is 10406423. The reversal of 10406396 is 69360401.

10406396 is a modest number, since divided by 6396 gives 104 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406393) 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, 92036 + ... + 92148.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 210406396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

10406396 is an abundant number, since it is smaller than the sum of its proper divisors (15333892).

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

10406396 is a wasteful number, since it uses less digits than its factorization.

10406396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 10406396 is about 3225.8946046020. The cubic root of 10406396 is about 218.3233145504.

Adding to 10406396 its reverse (69360401), we get a palindrome (79766797).

The spelling of 10406396 in words is "ten million, four hundred six thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 52 77 91 92 113 143 154 161 182 226 253 286 299 308 322 364 452 506 572 598 644 791 1001 1012 1196 1243 1469 1582 1771 2002 2093 2486 2599 2938 3164 3289 3542 4004 4186 4972 5198 5876 6578 7084 8372 8701 10283 10396 13156 16159 17402 18193 20566 23023 28589 32318 33787 34804 36386 41132 46046 57178 64636 67574 72772 92092 113113 114356 135148 200123 226226 236509 371657 400246 452452 473018 743314 800492 946036 1486628 2601599 5203198 10406396