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1000460664 = 233271985041
BaseRepresentation
bin111011101000011…
…101000101111000
32120201112200000200
4323220131011320
54022104220124
6243135202200
733535526640
oct7350350570
92521480020
101000460664
114738089a5
1223b076360
1312c36ba78
1496c2b520
155cc72bc9
hex3ba1d178

1000460664 has 48 divisors (see below), whose sum is σ = 3096665520. Its totient is φ = 285845760.

The previous prime is 1000460663. The next prime is 1000460687. The reversal of 1000460664 is 4660640001.

It is a super-2 number, since 2×10004606642 = 2001843080422641792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000460663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992017 + ... + 993024.

It is an arithmetic number, because the mean of its divisors is an integer number (64513865).

Almost surely, 21000460664 is an apocalyptic number.

1000460664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1000460664 is an abundant number, since it is smaller than the sum of its proper divisors (2096204856).

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

1000460664 is a wasteful number, since it uses less digits than its factorization.

1000460664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985060 (or 1985053 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1000460664 is about 31630.0595004183. The cubic root of 1000460664 is about 1000.1535310937.

The spelling of 1000460664 in words is "one billion, four hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1985041 3970082 5955123 7940164 11910246 13895287 15880328 17865369 23820492 27790574 35730738 41685861 47640984 55581148 71461476 83371722 111162296 125057583 142922952 166743444 250115166 333486888 500230332 1000460664