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1046480660 = 2252910916553
BaseRepresentation
bin111110011000000…
…000011100010100
32200221010201120222
4332120000130110
54120344340120
6251501413512
734634640011
oct7630003424
92627121528
101046480660
11497790455
1225256a298
13138a62734
149cdaa708
1561d13525
hex3e600714

1046480660 has 48 divisors (see below), whose sum is σ = 2294384400. Its totient is φ = 400425984.

The previous prime is 1046480653. The next prime is 1046480753. The reversal of 1046480660 is 660846401.

It can be written as a sum of positive squares in 8 ways, for example, as 112444816 + 934035844 = 10604^2 + 30562^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1046480660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54944 + ... + 71496.

It is an arithmetic number, because the mean of its divisors is an integer number (47799675).

Almost surely, 21046480660 is an apocalyptic number.

1046480660 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 1046480660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147192200).

1046480660 is an abundant number, since it is smaller than the sum of its proper divisors (1247903740).

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

1046480660 is a wasteful number, since it uses less digits than its factorization.

1046480660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1046480660 is about 32349.3533165657. The cubic root of 1046480660 is about 1015.2595160947.

The spelling of 1046480660 in words is "one billion, forty-six million, four hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 109 116 145 218 290 436 545 580 1090 2180 3161 6322 12644 15805 16553 31610 33106 63220 66212 82765 165530 331060 480037 960074 1804277 1920148 2400185 3608554 4800370 7217108 9021385 9600740 18042770 36085540 52324033 104648066 209296132 261620165 523240330 1046480660