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1004664740 = 225318092003
BaseRepresentation
bin111011111000011…
…111011110100100
32121000110020221012
4323320133132210
54024143232430
6243405241352
733616336502
oct7370373644
92530406835
101004664740
1147611a542
12240563258
131301b14a1
1497603672
155d303695
hex3be1f7a4

1004664740 has 48 divisors (see below), whose sum is σ = 2181634560. Its totient is φ = 388227840.

The previous prime is 1004664721. The next prime is 1004664761. The reversal of 1004664740 is 474664001.

It is a junction number, because it is equal to n+sod(n) for n = 1004664697 and 1004664706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500579 + ... + 502581.

It is an arithmetic number, because the mean of its divisors is an integer number (45450720).

Almost surely, 21004664740 is an apocalyptic number.

1004664740 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 1004664740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090817280).

1004664740 is an abundant number, since it is smaller than the sum of its proper divisors (1176969820).

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

1004664740 is a wasteful number, since it uses less digits than its factorization.

1004664740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 1004664740 is about 31696.4468040189. The cubic root of 1004664740 is about 1001.5525018241.

The spelling of 1004664740 in words is "one billion, four million, six hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 809 1618 2003 3236 4006 4045 8012 8090 10015 16180 20030 25079 40060 50158 62093 100316 124186 125395 248372 250790 310465 501580 620930 1241860 1620427 3240854 6481708 8102135 16204270 32408540 50233237 100466474 200932948 251166185 502332370 1004664740