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423890560 = 2754373211
BaseRepresentation
bin11001010001000…
…000111010000000
31002112121212112101
4121101000322000
51332003444220
6110021240144
713335003352
oct3121007200
91075555471
10423890560
111a8303285
12b9b63054
1369a87822
14404230d2
152733230a
hex19440e80

423890560 has 128 divisors (see below), whose sum is σ = 1056116160. Its totient is φ = 162570240.

The previous prime is 423890549. The next prime is 423890561. The reversal of 423890560 is 65098324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4238905602 = 359366413714227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (423890561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008855 + ... + 2009065.

Almost surely, 2423890560 is an apocalyptic number.

423890560 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 423890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528058080).

423890560 is an abundant number, since it is smaller than the sum of its proper divisors (632225600).

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

423890560 is a wasteful number, since it uses less digits than its factorization.

423890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 423890560 is about 20588.6026723525. The cubic root of 423890560 is about 751.1925088179.

The spelling of 423890560 in words is "four hundred twenty-three million, eight hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 73 80 86 128 146 160 172 211 215 292 320 344 365 422 430 584 640 688 730 844 860 1055 1168 1376 1460 1688 1720 2110 2336 2752 2920 3139 3376 3440 4220 4672 5504 5840 6278 6752 6880 8440 9073 9344 11680 12556 13504 13760 15403 15695 16880 18146 23360 25112 27008 27520 30806 31390 33760 36292 45365 46720 50224 61612 62780 67520 72584 77015 90730 100448 123224 125560 135040 145168 154030 181460 200896 246448 251120 290336 308060 362920 401792 492896 502240 580672 616120 662329 725840 985792 1004480 1161344 1232240 1324658 1451680 1971584 2008960 2464480 2649316 2903360 3311645 4928960 5298632 5806720 6623290 9857920 10597264 13246580 21194528 26493160 42389056 52986320 84778112 105972640 211945280 423890560