Search a number
-
+
73046016 = 211331321
BaseRepresentation
bin1000101101010…
…01100000000000
312002110010022000
410112221200000
5122144433031
611125344000
71544611101
oct426514000
9162403260
1073046016
113826160a
1220568000
13121970c4
1499b63a8
15662d3e6
hex45a9800

73046016 has 96 divisors (see below), whose sum is σ = 216543600. Its totient is φ = 24330240.

The previous prime is 73046003. The next prime is 73046027. The reversal of 73046016 is 61064037.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 54636 + ... + 55956.

Almost surely, 273046016 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 73046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108271800).

73046016 is an abundant number, since it is smaller than the sum of its proper divisors (143497584).

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

73046016 is a wasteful number, since it uses less digits than its factorization.

73046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73046016 is about 8546.6962037971. The cubic root of 73046016 is about 418.0217169337.

The spelling of 73046016 in words is "seventy-three million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1321 1536 1728 2048 2304 2642 3072 3456 3963 4608 5284 6144 6912 7926 9216 10568 11889 13824 15852 18432 21136 23778 27648 31704 35667 42272 47556 55296 63408 71334 84544 95112 126816 142668 169088 190224 253632 285336 338176 380448 507264 570672 676352 760896 1014528 1141344 1352704 1521792 2029056 2282688 2705408 3043584 4058112 4565376 6087168 8116224 9130752 12174336 18261504 24348672 36523008 73046016