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230753040 = 24357137353
BaseRepresentation
bin11011100000100…
…00001100010000
3121002012110122220
431300100030100
5433033044130
634521501040
75501240250
oct1560201420
9532173586
10230753040
111092881a1
1265341780
1338a63c7b
1422909960
15153d1410
hexdc10310

230753040 has 80 divisors (see below), whose sum is σ = 817531008. Its totient is φ = 52743168.

The previous prime is 230753027. The next prime is 230753051. The reversal of 230753040 is 40357032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230753040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66997 + ... + 70356.

Almost surely, 2230753040 is an apocalyptic number.

230753040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230753040 is an abundant number, since it is smaller than the sum of its proper divisors (586777968).

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

230753040 is a wasteful number, since it uses less digits than its factorization.

230753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137376 (or 137370 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 230753040 is about 15190.5575934526. The cubic root of 230753040 is about 613.3605086678.

The spelling of 230753040 in words is "two hundred thirty million, seven hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 137353 274706 412059 549412 686765 824118 961471 1098824 1373530 1648236 1922942 2060295 2197648 2747060 2884413 3296472 3845884 4120590 4807355 5494120 5768826 6592944 7691768 8241180 9614710 10988240 11537652 14422065 15383536 16482360 19229420 23075304 28844130 32964720 38458840 46150608 57688260 76917680 115376520 230753040