Search a number
-
+
675024480 = 2532513107337
BaseRepresentation
bin101000001111000…
…000111001100000
31202001011210111200
4220033000321200
52340301240410
6150552041200
722504420254
oct5017007140
91661153450
10675024480
11317040979
1216a093200
13a9b06390
1465916264
153e3dc3c0
hex283c0e60

675024480 has 288 divisors, whose sum is σ = 2511329184. Its totient is φ = 164118528.

The previous prime is 675024461. The next prime is 675024499. The reversal of 675024480 is 84420576.

It is an interprime number because it is at equal distance from previous prime (675024461) and next prime (675024499).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002872 + ... + 2003208.

It is an arithmetic number, because the mean of its divisors is an integer number (8719893).

Almost surely, 2675024480 is an apocalyptic number.

675024480 is a gapful number since it is divisible by the number (60) 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 675024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255664592).

675024480 is an abundant number, since it is smaller than the sum of its proper divisors (1836304704).

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

675024480 is a wasteful number, since it uses less digits than its factorization.

675024480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 675024480 is about 25981.2332270814. The cubic root of 675024480 is about 877.2159257733.

The spelling of 675024480 in words is "six hundred seventy-five million, twenty-four thousand, four hundred eighty".