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423059040 = 25325293791
BaseRepresentation
bin11001001101110…
…101111001100000
31002111001121220100
4121031311321200
51331300342130
6105551342400
713324641165
oct3115657140
91074047810
10423059040
111a7895578
12b9821a00
13698561c1
144028806c
152721ac60
hex19375e60

423059040 has 72 divisors (see below), whose sum is σ = 1443693888. Its totient is φ = 112815360.

The previous prime is 423059029. The next prime is 423059041. The reversal of 423059040 is 40950324.

423059040 is a `hidden beast` number, since 4 + 2 + 30 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 423058995 and 423059013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423059041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145456 + ... + 148335.

It is an arithmetic number, because the mean of its divisors is an integer number (20051304).

Almost surely, 2423059040 is an apocalyptic number.

423059040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423059040 is an abundant number, since it is smaller than the sum of its proper divisors (1020634848).

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

423059040 is a wasteful number, since it uses less digits than its factorization.

423059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293812 (or 293801 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 423059040 is about 20568.3990626398. The cubic root of 423059040 is about 750.7009979317.

The spelling of 423059040 in words is "four hundred twenty-three million, fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 293791 587582 881373 1175164 1468955 1762746 2350328 2644119 2937910 3525492 4406865 4700656 5288238 5875820 7050984 8813730 9401312 10576476 11751640 13220595 14101968 17627460 21152952 23503280 26441190 28203936 35254920 42305904 47006560 52882380 70509840 84611808 105764760 141019680 211529520 423059040