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10376916 = 22311127619
BaseRepresentation
bin100111100101…
…011011010100
3201112012110020
4213211123110
510124030131
61010225140
7154126254
oct47453324
921465406
1010376916
115948370
1235851b0
1321c42b4
141541964
15d9e996
hex9e56d4

10376916 has 48 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 3114720.

The previous prime is 10376881. The next prime is 10376917. The reversal of 10376916 is 61967301.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10376917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16455 + ... + 17073.

It is an arithmetic number, because the mean of its divisors is an integer number (555520).

Almost surely, 210376916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10376916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

10376916 is an abundant number, since it is smaller than the sum of its proper divisors (16288044).

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

10376916 is a wasteful number, since it uses less digits than its factorization.

10376916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10376916 is about 3221.3220888325. The cubic root of 10376916 is about 218.1169588145.

The spelling of 10376916 in words is "ten million, three hundred seventy-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 619 762 1238 1397 1524 1857 2476 2794 3714 4191 5588 6809 7428 8382 13618 16764 20427 27236 40854 78613 81708 157226 235839 314452 471678 864743 943356 1729486 2594229 3458972 5188458 10376916