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73497040 = 2456171489
BaseRepresentation
bin1000110000101…
…11100111010000
312010022000222121
410120113213100
5122303401130
611143144024
71551500041
oct430274720
9163260877
1073497040
113853a461
1220745014
13122c4496
149a928c8
1566bbd7a
hex46179d0

73497040 has 40 divisors (see below), whose sum is σ = 171272520. Its totient is φ = 29331456.

The previous prime is 73497037. The next prime is 73497077. The reversal of 73497040 is 4079437.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 72114064 = 1176^2 + 8492^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 73496987 and 73497005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48616 + ... + 50104.

It is an arithmetic number, because the mean of its divisors is an integer number (4281813).

Almost surely, 273497040 is an apocalyptic number.

It is an amenable number.

73497040 is an abundant number, since it is smaller than the sum of its proper divisors (97775480).

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

73497040 is a wasteful number, since it uses less digits than its factorization.

With its successor (73497041) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2119).

73497040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 73497040 is about 8573.0414672974. The cubic root of 73497040 is about 418.8803131965.

The spelling of 73497040 in words is "seventy-three million, four hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 617 1234 1489 2468 2978 3085 4936 5956 6170 7445 9872 11912 12340 14890 23824 24680 29780 49360 59560 119120 918713 1837426 3674852 4593565 7349704 9187130 14699408 18374260 36748520 73497040