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10139776 = 27372141
BaseRepresentation
bin100110101011…
…100010000000
3201002011011021
4212223202000
510043433101
61001155224
7152121013
oct46534200
921064137
1010139776
1157a6189
12348bb14
13214038a
1414bd37a
15d545a1
hex9ab880

10139776 has 32 divisors (see below), whose sum is σ = 20755980. Its totient is φ = 4930560.

The previous prime is 10139771. The next prime is 10139791. The reversal of 10139776 is 67793101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7706176 + 2433600 = 2776^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10139771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3666 + ... + 5806.

Almost surely, 210139776 is an apocalyptic number.

10139776 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 10139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377990).

10139776 is an abundant number, since it is smaller than the sum of its proper divisors (10616204).

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

10139776 is an equidigital number, since it uses as much as digits as its factorization.

10139776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 10139776 is about 3184.3014932635. The cubic root of 10139776 is about 216.4426223185.

The spelling of 10139776 in words is "ten million, one hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2141 2368 4282 4736 8564 17128 34256 68512 79217 137024 158434 274048 316868 633736 1267472 2534944 5069888 10139776