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10480096 = 2511191567
BaseRepresentation
bin100111111110…
…100111100000
3201201102222201
4213332213200
510140330341
61012342544
7155036134
oct47764740
921642881
1010480096
115a08940
123614a54
13222c253
14156b3c4
15dc0331
hex9fe9e0

10480096 has 48 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 4510080.

The previous prime is 10480091. The next prime is 10480103. The reversal of 10480096 is 69008401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10480091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5905 + ... + 7471.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 210480096 is an apocalyptic number.

10480096 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 10480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

10480096 is an abundant number, since it is smaller than the sum of its proper divisors (13228064).

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

10480096 is a wasteful number, since it uses less digits than its factorization.

10480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10480096 is about 3237.2976384633. The cubic root of 10480096 is about 218.8375044747.

Adding to 10480096 its reverse (69008401), we get a palindrome (79488497).

It can be divided in two parts, 104 and 80096, that added together give a triangular number (80200 = T400).

The spelling of 10480096 in words is "ten million, four hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1567 1672 3134 3344 6268 6688 12536 17237 25072 29773 34474 50144 59546 68948 119092 137896 238184 275792 327503 476368 551584 655006 952736 1310012 2620024 5240048 10480096