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423106560 = 2113254591
BaseRepresentation
bin11001001110000…
…001100000000000
31002111011001002100
4121032001200000
51331303402220
6105552350400
713325226552
oct3116014000
91074131070
10423106560
111a7918248
12b9845400
1369871a16
144029b4d2
1527229d90
hex19381800

423106560 has 144 divisors (see below), whose sum is σ = 1466730720. Its totient is φ = 112803840.

The previous prime is 423106501. The next prime is 423106633. The reversal of 423106560 is 65601324.

423106560 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4231065602 = 358038322230067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89865 + ... + 94455.

It is an arithmetic number, because the mean of its divisors is an integer number (10185630).

Almost surely, 2423106560 is an apocalyptic number.

423106560 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 423106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733365360).

423106560 is an abundant number, since it is smaller than the sum of its proper divisors (1043624160).

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

423106560 is a wasteful number, since it uses less digits than its factorization.

423106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 423106560 is about 20569.5542003224. The cubic root of 423106560 is about 750.7291043129.

Adding to 423106560 its reverse (65601324), we get a palindrome (488707884).

The spelling of 423106560 in words is "four hundred twenty-three million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4591 4608 5120 5760 6144 7680 9182 9216 10240 11520 13773 15360 18364 18432 22955 23040 27546 30720 36728 41319 45910 46080 55092 68865 73456 82638 91820 92160 110184 137730 146912 165276 183640 206595 220368 275460 293824 330552 367280 413190 440736 550920 587648 661104 734560 826380 881472 1101840 1175296 1322208 1469120 1652760 1762944 2203680 2350592 2644416 2938240 3305520 3525888 4407360 4701184 5288832 5876480 6611040 7051776 8814720 9402368 10577664 11752960 13222080 14103552 17629440 21155328 23505920 26444160 28207104 35258880 42310656 47011840 52888320 70517760 84621312 105776640 141035520 211553280 423106560