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10040096 = 251122593
BaseRepresentation
bin100110010011…
…001100100000
3200220002102102
4212103030200
510032240341
6555105532
7151224263
oct46231440
920802372
1010040096
115738300
1234422a8
132106bb1
141494cda
15d34c9b
hex993320

10040096 has 36 divisors (see below), whose sum is σ = 21735126. Its totient is φ = 4561920.

The previous prime is 10040087. The next prime is 10040111. The reversal of 10040096 is 69004001.

It can be written as a sum of positive squares in only one way, i.e., 8179600 + 1860496 = 2860^2 + 1364^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2576 + ... + 5168.

Almost surely, 210040096 is an apocalyptic number.

10040096 is a gapful number since it is divisible by the number (16) 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 10040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867563).

10040096 is an abundant number, since it is smaller than the sum of its proper divisors (11695030).

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

10040096 is a wasteful number, since it uses less digits than its factorization.

10040096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10040096 is about 3168.6110521804. The cubic root of 10040096 is about 215.7310323847.

Adding to 10040096 its reverse (69004001), we get a palindrome (79044097).

The spelling of 10040096 in words is "ten million, forty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2593 3872 5186 10372 20744 28523 41488 57046 82976 114092 228184 313753 456368 627506 912736 1255012 2510024 5020048 10040096