Search a number
-
+
10804860 = 223351117107
BaseRepresentation
bin101001001101…
…111001111100
3202022221111000
4221031321330
510231223420
61023330300
7160561023
oct51157174
922287430
1010804860
11610a940
123750990
132314011
1416138ba
15e36690
hexa4de7c

10804860 has 192 divisors, whose sum is σ = 39191040. Its totient is φ = 2442240.

The previous prime is 10804837. The next prime is 10804861. The reversal of 10804860 is 6840801.

It is a Harshad number since it is a multiple of its sum of digits (27).

10804860 is a modest number, since divided by 4860 gives 1080 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10804861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100927 + ... + 101033.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 210804860 is an apocalyptic number.

10804860 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 10804860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

10804860 is an abundant number, since it is smaller than the sum of its proper divisors (28386180).

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

10804860 is a wasteful number, since it uses less digits than its factorization.

10804860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10804860 is about 3287.0746873170. The cubic root of 10804860 is about 221.0750412297.

It can be divided in two parts, 10804 and 860, that added together give a square (11664 = 1082).

The spelling of 10804860 in words is "ten million, eight hundred four thousand, eight hundred sixty".