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73640632 = 2313719973
BaseRepresentation
bin1000110001110…
…10101010111000
312010120022221211
410120322222320
5122323000012
611150212504
71552635502
oct430725270
9163508854
1073640632
113862832a
12207b4134
1312344950
149accd72
1566e96a7
hex463aab8

73640632 has 32 divisors (see below), whose sum is σ = 150806880. Its totient is φ = 33505920.

The previous prime is 73640627. The next prime is 73640663. The reversal of 73640632 is 23604637.

It is a junction number, because it is equal to n+sod(n) for n = 73640594 and 73640603.

It is a congruent number.

It is an unprimeable number.

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, 2398 + ... + 12370.

It is an arithmetic number, because the mean of its divisors is an integer number (4712715).

Almost surely, 273640632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73640632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75403440).

73640632 is an abundant number, since it is smaller than the sum of its proper divisors (77166248).

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

73640632 is a wasteful number, since it uses less digits than its factorization.

73640632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063 (or 10059 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 73640632 is about 8581.4120050257. The cubic root of 73640632 is about 419.1529261429.

The spelling of 73640632 in words is "seventy-three million, six hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 7384 9973 19946 39892 79784 129649 259298 518596 708083 1037192 1416166 2832332 5664664 9205079 18410158 36820316 73640632