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423845120 = 2851372417
BaseRepresentation
bin11001010000110…
…101110100000000
31002112112120012102
4121100311310000
51332001020440
6110020245532
713334424026
oct3120656400
91075476172
10423845120
111a8282126
12b9b408a8
1369a6cc3a
1440410716
1527323b15
hex19435d00

423845120 has 72 divisors (see below), whose sum is σ = 1023075144. Its totient is φ = 168230912.

The previous prime is 423845117. The next prime is 423845137. The reversal of 423845120 is 21548324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 166306816 + 257538304 = 12896^2 + 16048^2 .

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 7 ways as a sum of consecutive naturals, for example, 174152 + ... + 176568.

It is an arithmetic number, because the mean of its divisors is an integer number (14209377).

Almost surely, 2423845120 is an apocalyptic number.

423845120 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 423845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511537572).

423845120 is an abundant number, since it is smaller than the sum of its proper divisors (599230024).

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

423845120 is a wasteful number, since it uses less digits than its factorization.

423845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 423845120 is about 20587.4991196114. The cubic root of 423845120 is about 751.1656658773.

The spelling of 423845120 in words is "four hundred twenty-three million, eight hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 256 274 320 548 640 685 1096 1280 1370 2192 2417 2740 4384 4834 5480 8768 9668 10960 12085 17536 19336 21920 24170 35072 38672 43840 48340 77344 87680 96680 154688 175360 193360 309376 331129 386720 618752 662258 773440 1324516 1546880 1655645 2649032 3093760 3311290 5298064 6622580 10596128 13245160 21192256 26490320 42384512 52980640 84769024 105961280 211922560 423845120