Search a number
-
+
1320014280 = 2335133592357
BaseRepresentation
bin100111010101101…
…1101000111001000
310101222211200011210
41032223131013020
510200410424110
6334552253120
744465636064
oct11653350710
93358750153
101320014280
116181282a2
1230a0a11a0
13180624a50
14c7450aa4
157ad45520
hex4eadd1c8

1320014280 has 128 divisors (see below), whose sum is σ = 4278355200. Its totient is φ = 323884032.

The previous prime is 1320014279. The next prime is 1320014287. The reversal of 1320014280 is 824100231.

1320014280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1320014287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558862 + ... + 561218.

It is an arithmetic number, because the mean of its divisors is an integer number (33424650).

Almost surely, 21320014280 is an apocalyptic number.

1320014280 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 1320014280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139177600).

1320014280 is an abundant number, since it is smaller than the sum of its proper divisors (2958340920).

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

1320014280 is a wasteful number, since it uses less digits than its factorization.

1320014280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1320014280 is about 36332.0007706705. Note that the first 3 decimals coincide. The cubic root of 1320014280 is about 1096.9652661812.

The spelling of 1320014280 in words is "one billion, three hundred twenty million, fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 359 390 520 718 780 1077 1436 1560 1795 2154 2357 2872 3590 4308 4667 4714 5385 7071 7180 8616 9334 9428 10770 11785 14001 14142 14360 18668 18856 21540 23335 23570 28002 28284 30641 35355 37336 43080 46670 47140 56004 56568 61282 70005 70710 91923 93340 94280 112008 122564 140010 141420 153205 183846 186680 245128 280020 282840 306410 367692 459615 560040 612820 735384 846163 919230 1225640 1692326 1838460 2538489 3384652 3676920 4230815 5076978 6769304 8461630 10153956 11000119 12692445 16923260 20307912 22000238 25384890 33000357 33846520 44000476 50769780 55000595 66000714 88000952 101539560 110001190 132001428 165001785 220002380 264002856 330003570 440004760 660007140 1320014280