Search a number
-
+
73000432 = 2419439547
BaseRepresentation
bin1000101100111…
…10010111110000
312002100210202201
410112132113300
5122142003212
611124352544
71544331151
oct426362760
9162323681
1073000432
113823033a
1220545754
131217c42b
1499a3928
15661eb57
hex459e5f0

73000432 has 40 divisors (see below), whose sum is σ = 149494400. Its totient is φ = 34437312.

The previous prime is 73000427. The next prime is 73000439. The reversal of 73000432 is 23400037.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73000439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133183 + ... + 133729.

It is an arithmetic number, because the mean of its divisors is an integer number (3737360).

Almost surely, 273000432 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 73000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74747200).

73000432 is an abundant number, since it is smaller than the sum of its proper divisors (76493968).

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

73000432 is a wasteful number, since it uses less digits than its factorization.

73000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 73000432 is about 8544.0290261679. The cubic root of 73000432 is about 417.9347440541.

Adding to 73000432 its reverse (23400037), we get a palindrome (96400469).

The spelling of 73000432 in words is "seventy-three million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 38 76 152 304 439 547 878 1094 1756 2188 3512 4376 7024 8341 8752 10393 16682 20786 33364 41572 66728 83144 133456 166288 240133 480266 960532 1921064 3842128 4562527 9125054 18250108 36500216 73000432