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73282680 = 23325203563
BaseRepresentation
bin1000101111000…
…11010001111000
312002220010221100
410113203101320
5122230021210
611134411400
71546615062
oct427432170
9162803840
1073282680
11384033a9
1220660b60
131224aa43
149a38732
1566785c0
hex45e3478

73282680 has 48 divisors (see below), whose sum is σ = 238169880. Its totient is φ = 19541952.

The previous prime is 73282673. The next prime is 73282687. The reversal of 73282680 is 8628237.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73282673) and next prime (73282687).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (73282687) 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 11 ways as a sum of consecutive naturals, for example, 101422 + ... + 102141.

Almost surely, 273282680 is an apocalyptic number.

It is an amenable number.

73282680 is an abundant number, since it is smaller than the sum of its proper divisors (164887200).

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

73282680 is a wasteful number, since it uses less digits than its factorization.

73282680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203580 (or 203573 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73282680 is about 8560.5303574019. The cubic root of 73282680 is about 418.4726839911.

The spelling of 73282680 in words is "seventy-three million, two hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 203563 407126 610689 814252 1017815 1221378 1628504 1832067 2035630 2442756 3053445 3664134 4071260 4885512 6106890 7328268 8142520 9160335 12213780 14656536 18320670 24427560 36641340 73282680