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423847680 = 2835234799
BaseRepresentation
bin11001010000110…
…110011100000000
31002112112200201020
4121100312130000
51332001111210
6110020305440
713334434344
oct3120663400
91075480636
10423847680
111a8284043
12b9b42280
1369a71159
1440411624
1527324770
hex19436700

423847680 has 144 divisors (see below), whose sum is σ = 1412812800. Its totient is φ = 108089344.

The previous prime is 423847643. The next prime is 423847747. The reversal of 423847680 is 86748324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85921 + ... + 90719.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2423847680 is an apocalyptic number.

423847680 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 423847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

423847680 is an abundant number, since it is smaller than the sum of its proper divisors (988965120).

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

423847680 is a wasteful number, since it uses less digits than its factorization.

423847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 423847680 is about 20587.5612931692. The cubic root of 423847680 is about 751.1671782067.

The spelling of 423847680 in words is "four hundred twenty-three million, eight hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 4799 5520 5888 7360 8832 9598 11040 14397 14720 17664 19196 22080 23995 28794 29440 38392 44160 47990 57588 71985 76784 88320 95980 110377 115176 143970 153568 191960 220754 230352 287940 307136 331131 383920 441508 460704 551885 575880 614272 662262 767840 883016 921408 1103770 1151760 1228544 1324524 1535680 1655655 1766032 1842816 2207540 2303520 2649048 3071360 3311310 3532064 3685632 4415080 4607040 5298096 6142720 6622620 7064128 8830160 9214080 10596192 13245240 14128256 17660320 18428160 21192384 26490480 28256512 35320640 42384768 52980960 70641280 84769536 105961920 141282560 211923840 423847680