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1439914960 = 2451117293319
BaseRepresentation
bin101010111010011…
…0101101111010000
310201100110020222201
41111310311233100
510422104234320
6354514212544
750453034541
oct12564655720
93640406881
101439914960
11679881470
12342284154
1319c4156b3
14d93424c8
158662b70a
hex55d35bd0

1439914960 has 160 divisors (see below), whose sum is σ = 4001529600. Its totient is φ = 475668480.

The previous prime is 1439914933. The next prime is 1439914967. The reversal of 1439914960 is 694199341.

It is a self number, because there is not a number n which added to its sum of digits gives 1439914960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1439914967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432181 + ... + 435499.

It is an arithmetic number, because the mean of its divisors is an integer number (25009560).

Almost surely, 21439914960 is an apocalyptic number.

1439914960 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 1439914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000764800).

1439914960 is an abundant number, since it is smaller than the sum of its proper divisors (2561614640).

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

1439914960 is a wasteful number, since it uses less digits than its factorization.

1439914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 1439914960 is about 37946.2114050929. The cubic root of 1439914960 is about 1129.2210048574.

The spelling of 1439914960 in words is "one billion, four hundred thirty-nine million, nine hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 29 34 40 44 55 58 68 80 85 88 110 116 136 145 170 176 187 220 232 272 290 319 340 374 440 464 493 580 638 680 748 880 935 986 1160 1276 1360 1496 1595 1870 1972 2320 2465 2552 2992 3190 3319 3740 3944 4930 5104 5423 6380 6638 7480 7888 9860 10846 12760 13276 14960 16595 19720 21692 25520 26552 27115 33190 36509 39440 43384 53104 54230 56423 66380 73018 86768 96251 108460 112846 132760 146036 182545 192502 216920 225692 265520 282115 292072 365090 385004 433840 451384 481255 564230 584144 620653 730180 770008 902768 962510 1058761 1128460 1241306 1460360 1540016 1636267 1925020 2117522 2256920 2482612 2920720 3103265 3272534 3850040 4235044 4513840 4965224 5293805 6206530 6545068 7700080 8181335 8470088 9930448 10587610 12413060 13090136 16362670 16940176 17998937 21175220 24826120 26180272 32725340 35997874 42350440 49652240 65450680 71995748 84700880 89994685 130901360 143991496 179989370 287982992 359978740 719957480 1439914960