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1384908960 = 25357140637
BaseRepresentation
bin101001010001100…
…0000100010100000
310120111221122221110
41102203000202200
510314014041320
6345231223320
746214350311
oct12243004240
93514848843
101384908960
11650821666
12327977b40
13190bc6876
14d1d04608
15818b35e0
hex528c08a0

1384908960 has 96 divisors (see below), whose sum is σ = 4424015232. Its totient is φ = 364098560.

The previous prime is 1384908937. The next prime is 1384908979. The reversal of 1384908960 is 698094831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13762 + ... + 54398.

It is an arithmetic number, because the mean of its divisors is an integer number (46083492).

Almost surely, 21384908960 is an apocalyptic number.

1384908960 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 1384908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212007616).

1384908960 is an abundant number, since it is smaller than the sum of its proper divisors (3039106272).

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

1384908960 is a wasteful number, since it uses less digits than its factorization.

1384908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40726 (or 40718 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1384908960 is about 37214.3649683828. The cubic root of 1384908960 is about 1114.6548456759.

The spelling of 1384908960 in words is "one billion, three hundred eighty-four million, nine hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 4260 5680 6816 8520 11360 17040 34080 40637 81274 121911 162548 203185 243822 325096 406370 487644 609555 650192 812740 975288 1219110 1300384 1625480 1950576 2438220 2885227 3250960 3901152 4876440 5770454 6501920 8655681 9752880 11540908 14426135 17311362 19505760 23081816 28852270 34622724 43278405 46163632 57704540 69245448 86556810 92327264 115409080 138490896 173113620 230818160 276981792 346227240 461636320 692454480 1384908960