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10499104 = 257114261
BaseRepresentation
bin101000000011…
…010000100000
3201202102001201
4220003100200
510141432404
61013010544
7155145430
oct50032040
921672051
1010499104
115a21150
123623a54
132237ab5
1415742c0
15dc5ca4
hexa03420

10499104 has 48 divisors (see below), whose sum is σ = 25776576. Its totient is φ = 4089600.

The previous prime is 10499089. The next prime is 10499113. The reversal of 10499104 is 40199401.

It is a super-2 number, since 2×104991042 = 220462369605632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 4594.

It is an arithmetic number, because the mean of its divisors is an integer number (537012).

Almost surely, 210499104 is an apocalyptic number.

10499104 is a gapful number since it is divisible by the number (14) 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 10499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888288).

10499104 is an abundant number, since it is smaller than the sum of its proper divisors (15277472).

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

10499104 is a wasteful number, since it uses less digits than its factorization.

10499104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 10499104 is about 3240.2320904528. The cubic root of 10499104 is about 218.9697281678.

It can be divided in two parts, 1049 and 9104, that added together give a triangular number (10153 = T142).

The spelling of 10499104 in words is "ten million, four hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4261 8522 17044 29827 34088 46871 59654 68176 93742 119308 136352 187484 238616 328097 374968 477232 656194 749936 954464 1312388 1499872 2624776 5249552 10499104