Search a number
-
+
423838080 = 2732573583
BaseRepresentation
bin11001010000110…
…100000110000000
31002112112012112200
4121100310012000
51332000304310
6110020153200
713334364351
oct3120640600
91075465480
10423838080
111a8277906
12b9b38800
1369a69983
144040bd28
15273219c0
hex19434180

423838080 has 96 divisors (see below), whose sum is σ = 1463585760. Its totient is φ = 113021952.

The previous prime is 423838069. The next prime is 423838087. The reversal of 423838080 is 80838324.

It is a happy number.

423838080 is a `hidden beast` number, since 423 + 83 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423838087) 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, 31032 + ... + 42551.

It is an arithmetic number, because the mean of its divisors is an integer number (15245685).

Almost surely, 2423838080 is an apocalyptic number.

423838080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423838080 is an abundant number, since it is smaller than the sum of its proper divisors (1039747680).

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

423838080 is a wasteful number, since it uses less digits than its factorization.

423838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73608 (or 73593 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 423838080 is about 20587.3281413592. The cubic root of 423838080 is about 751.1615069403.

The spelling of 423838080 in words is "four hundred twenty-three million, eight hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 73583 147166 220749 294332 367915 441498 588664 662247 735830 882996 1103745 1177328 1324494 1471660 1765992 2207490 2354656 2648988 2943320 3311235 3531984 4414980 4709312 5297976 5886640 6622470 7063968 8829960 9418624 10595952 11773280 13244940 14127936 17659920 21191904 23546560 26489880 28255872 35319840 42383808 47093120 52979760 70639680 84767616 105959520 141279360 211919040 423838080