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1264424720 = 245132395087
BaseRepresentation
bin100101101011101…
…1001011100010000
310021010020102122012
41023113121130100
510042143042340
6325245002052
743222301306
oct11327313420
93233212565
101264424720
1159980a009
122b3553328
13171c60410
14bdd00276
1576014565
hex4b5d9710

1264424720 has 80 divisors (see below), whose sum is σ = 3179796480. Its totient is φ = 464819712.

The previous prime is 1264424713. The next prime is 1264424771. The reversal of 1264424720 is 274244621.

It is a tau number, because it is divible by the number of its divisors (80).

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, 246017 + ... + 251103.

It is an arithmetic number, because the mean of its divisors is an integer number (39747456).

Almost surely, 21264424720 is an apocalyptic number.

1264424720 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 1264424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589898240).

1264424720 is an abundant number, since it is smaller than the sum of its proper divisors (1915371760).

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

1264424720 is a wasteful number, since it uses less digits than its factorization.

1264424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 1264424720 is about 35558.7502592541. The cubic root of 1264424720 is about 1081.3451232427.

The spelling of 1264424720 in words is "one billion, two hundred sixty-four million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 239 260 478 520 956 1040 1195 1912 2390 3107 3824 4780 5087 6214 9560 10174 12428 15535 19120 20348 24856 25435 31070 40696 49712 50870 62140 66131 81392 101740 124280 132262 203480 248560 264524 330655 406960 529048 661310 1058096 1215793 1322620 2431586 2645240 4863172 5290480 6078965 9726344 12157930 15805309 19452688 24315860 31610618 48631720 63221236 79026545 97263440 126442472 158053090 252884944 316106180 632212360 1264424720