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73770480 = 24335721741
BaseRepresentation
bin1000110010110…
…10010111110000
312010210221002000
410121122113300
5122341123410
611153054000
71554016200
oct431322760
9163727060
1073770480
1138706943
1220857300
131238ba94
149b24400
156722dc0
hex465a5f0

73770480 has 480 divisors, whose sum is σ = 320604480. Its totient is φ = 15482880.

The previous prime is 73770479. The next prime is 73770481. The reversal of 73770480 is 8407737.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73770479) and next prime (73770481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73770481) 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 95 ways as a sum of consecutive naturals, for example, 1799260 + ... + 1799300.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 273770480 is an apocalyptic number.

73770480 is a gapful number since it is divisible by the number (70) 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 73770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

73770480 is an abundant number, since it is smaller than the sum of its proper divisors (246834000).

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

73770480 is a wasteful number, since it uses less digits than its factorization.

73770480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 73770480 is about 8588.9743275900. The cubic root of 73770480 is about 419.3991408105.

It can be divided in two parts, 737 and 70480, that added together give a palindrome (71217).

The spelling of 73770480 in words is "seventy-three million, seven hundred seventy thousand, four hundred eighty".