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423135840 = 2535881533
BaseRepresentation
bin11001001110001…
…000101001100000
31002111012112020210
4121032020221200
51331310321330
6105553134120
713325411121
oct3116105140
91074175223
10423135840
111a7938246
12b985a340
136988214a
14402a8048
15272338b0
hex19388a60

423135840 has 48 divisors (see below), whose sum is σ = 1332879408. Its totient is φ = 112836096.

The previous prime is 423135829. The next prime is 423135859. The reversal of 423135840 is 48531324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 423135798 and 423135807.

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, 440287 + ... + 441246.

It is an arithmetic number, because the mean of its divisors is an integer number (27768321).

Almost surely, 2423135840 is an apocalyptic number.

423135840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423135840 is an abundant number, since it is smaller than the sum of its proper divisors (909743568).

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

423135840 is a wasteful number, since it uses less digits than its factorization.

423135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881551 (or 881543 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 423135840 is about 20570.2659195257. The cubic root of 423135840 is about 750.7464213383.

The spelling of 423135840 in words is "four hundred twenty-three million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 881533 1763066 2644599 3526132 4407665 5289198 7052264 8815330 10578396 13222995 14104528 17630660 21156792 26445990 28209056 35261320 42313584 52891980 70522640 84627168 105783960 141045280 211567920 423135840