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243125040 = 24357313877
BaseRepresentation
bin11100111110111…
…00101100110000
3121221111000212010
432133130230300
5444220000130
640043002520
76011346234
oct1637345460
9557430763
10243125040
11115268494
1269509440
133b4a6392
142440a5c4
15165270b0
hexe7dcb30

243125040 has 80 divisors (see below), whose sum is σ = 764067168. Its totient is φ = 63940608.

The previous prime is 243125027. The next prime is 243125059. The reversal of 243125040 is 40521342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243124998 and 243125016.

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, 10582 + ... + 24458.

Almost surely, 2243125040 is an apocalyptic number.

243125040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382033584).

243125040 is an abundant number, since it is smaller than the sum of its proper divisors (520942128).

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

243125040 is a wasteful number, since it uses less digits than its factorization.

243125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13966 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 243125040 is about 15592.4674121834. The cubic root of 243125040 is about 624.1321629987.

Adding to 243125040 its reverse (40521342), we get a palindrome (283646382).

The spelling of 243125040 in words is "two hundred forty-three million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 13877 17520 27754 41631 55508 69385 83262 111016 138770 166524 208155 222032 277540 333048 416310 555080 666096 832620 1013021 1110160 1665240 2026042 3039063 3330480 4052084 5065105 6078126 8104168 10130210 12156252 15195315 16208336 20260420 24312504 30390630 40520840 48625008 60781260 81041680 121562520 243125040