Search a number
-
+
422799360 = 2113513763
BaseRepresentation
bin11001001100110…
…110100000000000
31002110120102200120
4121030312200000
51331214034420
6105542020240
713322510124
oct3114664000
91073512616
10422799360
111a7728465
12b9717680
1369794c49
144021b584
15271b8d40
hex19336800

422799360 has 96 divisors (see below), whose sum is σ = 1352725920. Its totient is φ = 112738304.

The previous prime is 422799341. The next prime is 422799373. The reversal of 422799360 is 63997224.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23839 + ... + 37601.

It is an arithmetic number, because the mean of its divisors is an integer number (14090895).

Almost surely, 2422799360 is an apocalyptic number.

422799360 is a gapful number since it is divisible by the number (40) 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 422799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676362960).

422799360 is an abundant number, since it is smaller than the sum of its proper divisors (929926560).

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

422799360 is a wasteful number, since it uses less digits than its factorization.

422799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 422799360 is about 20562.0854973419. The cubic root of 422799360 is about 750.5473693075.

The spelling of 422799360 in words is "four hundred twenty-two million, seven hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 13763 15360 27526 30720 41289 55052 68815 82578 110104 137630 165156 206445 220208 275260 330312 412890 440416 550520 660624 825780 880832 1101040 1321248 1651560 1761664 2202080 2642496 3303120 3523328 4404160 5284992 6606240 7046656 8808320 10569984 13212480 14093312 17616640 21139968 26424960 28186624 35233280 42279936 52849920 70466560 84559872 105699840 140933120 211399680 422799360