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423401120 = 2559727281
BaseRepresentation
bin11001001111001…
…001011010100000
31002111201000010222
4121033021122200
51331342313440
6110002542212
713330564412
oct3117113240
91074630128
10423401120
111a7aa958a
12b9967968
1369945b0c
14403369b2
15272872b5
hex193c96a0

423401120 has 48 divisors (see below), whose sum is σ = 1010634408. Its totient is φ = 167608320.

The previous prime is 423401119. The next prime is 423401129. The reversal of 423401120 is 21104324.

It can be written as a sum of positive squares in 4 ways, for example, as 374345104 + 49056016 = 19348^2 + 7004^2 .

It is not an unprimeable number, because it can be changed into a prime (423401129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1880 + ... + 29160.

Almost surely, 2423401120 is an apocalyptic number.

423401120 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 423401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505317204).

423401120 is an abundant number, since it is smaller than the sum of its proper divisors (587233288).

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

423401120 is a wasteful number, since it uses less digits than its factorization.

423401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393 (or 27385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 423401120 is about 20576.7130514084. The cubic root of 423401120 is about 750.9032790865.

Adding to 423401120 its reverse (21104324), we get a palindrome (444505444).

The spelling of 423401120 in words is "four hundred twenty-three million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 15520 27281 54562 109124 136405 218248 272810 436496 545620 872992 1091240 2182480 2646257 4364960 5292514 10585028 13231285 21170056 26462570 42340112 52925140 84680224 105850280 211700560 423401120