Search a number
-
+
75252720 = 2435313553
BaseRepresentation
bin1000111110001…
…00001111110000
312020121020022210
410133010033300
5123231041340
611244532120
71602431454
oct437041760
9166536283
1075252720
1139529534
1221251040
131278a64a
149dcc664
156917180
hex47c43f0

75252720 has 40 divisors (see below), whose sum is σ = 233284176. Its totient is φ = 20067328.

The previous prime is 75252713. The next prime is 75252721. The reversal of 75252720 is 2725257.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75252721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 156537 + ... + 157016.

Almost surely, 275252720 is an apocalyptic number.

It is an amenable number.

75252720 is an abundant number, since it is smaller than the sum of its proper divisors (158031456).

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

75252720 is a wasteful number, since it uses less digits than its factorization.

75252720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313569 (or 313563 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 75252720 is about 8674.8325632256. The cubic root of 75252720 is about 422.1894734013.

Adding to 75252720 its reverse (2725257), we get a palindrome (77977977).

The spelling of 75252720 in words is "seventy-five million, two hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313553 627106 940659 1254212 1567765 1881318 2508424 3135530 3762636 4703295 5016848 6271060 7525272 9406590 12542120 15050544 18813180 25084240 37626360 75252720