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75141330 = 235111092089
BaseRepresentation
bin1000111101010…
…01000011010010
312020101120112020
410132221003102
5123214010310
611242312310
71601455635
oct436510322
9166346466
1075141330
1139462880
12211b8696
131274ba34
149d9dc1c
1568e4170
hex47a90d2

75141330 has 64 divisors (see below), whose sum is σ = 198633600. Its totient is φ = 18040320.

The previous prime is 75141329. The next prime is 75141331. The reversal of 75141330 is 3314157.

It is an interprime number because it is at equal distance from previous prime (75141329) and next prime (75141331).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75141330.

It is not an unprimeable number, because it can be changed into a prime (75141331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34926 + ... + 37014.

It is an arithmetic number, because the mean of its divisors is an integer number (3103650).

Almost surely, 275141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99316800).

75141330 is an abundant number, since it is smaller than the sum of its proper divisors (123492270).

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

75141330 is a wasteful number, since it uses less digits than its factorization.

75141330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 75141330 is about 8668.4098887858. The cubic root of 75141330 is about 421.9810605218.

Adding to 75141330 its reverse (3314157), we get a palindrome (78455487).

The spelling of 75141330 in words is "seventy-five million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 1090 1199 1635 2089 2398 3270 3597 4178 5995 6267 7194 10445 11990 12534 17985 20890 22979 31335 35970 45958 62670 68937 114895 137874 227701 229790 344685 455402 683103 689370 1138505 1366206 2277010 2504711 3415515 5009422 6831030 7514133 12523555 15028266 25047110 37570665 75141330