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232426080 = 25325161407
BaseRepresentation
bin11011101101010…
…00101001100000
3121012100110122100
431312220221200
5434000113310
635021410400
75521406025
oct1566505140
9535313570
10232426080
1110a220177
1265a09a00
13391cb633
1422c2354c
1515611ec0
hexdda8a60

232426080 has 72 divisors (see below), whose sum is σ = 793158912. Its totient is φ = 61979904.

The previous prime is 232426079. The next prime is 232426093. The reversal of 232426080 is 80624232.

232426080 is a `hidden beast` number, since 2 + 324 + 260 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 79264 + ... + 82143.

It is an arithmetic number, because the mean of its divisors is an integer number (11016096).

Almost surely, 2232426080 is an apocalyptic number.

232426080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232426080 is an abundant number, since it is smaller than the sum of its proper divisors (560732832).

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

232426080 is a wasteful number, since it uses less digits than its factorization.

232426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161428 (or 161417 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 232426080 is about 15245.5265569937. The cubic root of 232426080 is about 614.8392996742.

The spelling of 232426080 in words is "two hundred thirty-two million, four hundred twenty-six 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 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 161407 322814 484221 645628 807035 968442 1291256 1452663 1614070 1936884 2421105 2582512 2905326 3228140 3873768 4842210 5165024 5810652 6456280 7263315 7747536 9684420 11621304 12912560 14526630 15495072 19368840 23242608 25825120 29053260 38737680 46485216 58106520 77475360 116213040 232426080