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10500000 = 253567
BaseRepresentation
bin101000000011…
…011110100000
3201202110021220
4220003132200
510142000000
61013015040
7155151150
oct50033640
921673256
1010500000
115a21895
123624480
132238324
141574760
15dc61a0
hexa037a0

10500000 has 168 divisors, whose sum is σ = 39374496. Its totient is φ = 2400000.

The previous prime is 10499981. The next prime is 10500013. The reversal of 10500000 is 501.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×105000002 = 220500000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1499997 + ... + 1500003.

It is an arithmetic number, because the mean of its divisors is an integer number (234372).

Almost surely, 210500000 is an apocalyptic number.

10500000 is a gapful number since it is divisible by the number (10) 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 10500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687248).

10500000 is an abundant number, since it is smaller than the sum of its proper divisors (28874496).

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

10500000 is an frugal number, since it uses more digits than its factorization.

10500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 10500000 is about 3240.3703492039. The cubic root of 10500000 is about 218.9759569944.

Adding to 10500000 its reverse (501), we get a palindrome (10500501).

The spelling of 10500000 in words is "ten million, five hundred thousand".