Search a number
-
+
73113705 = 335777369
BaseRepresentation
bin1000101101110…
…10000001101001
312002120120011000
410112322001221
5122204114310
611131025213
71545312330
oct426720151
9162516130
1073113705
11382a8455
122059b209
13121bbb62
1499d2d17
1566434c0
hex45ba069

73113705 has 32 divisors (see below), whose sum is σ = 148550400. Its totient is φ = 33422976.

The previous prime is 73113643. The next prime is 73113707. The reversal of 73113705 is 50731137.

It is not a de Polignac number, because 73113705 - 210 = 73112681 is a prime.

It is a super-2 number, since 2×731137052 = 10691227717654050, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73113707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37740 + ... + 39629.

It is an arithmetic number, because the mean of its divisors is an integer number (4642200).

Almost surely, 273113705 is an apocalyptic number.

It is an amenable number.

73113705 is an abundant number, since it is smaller than the sum of its proper divisors (75436695).

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

73113705 is a wasteful number, since it uses less digits than its factorization.

73113705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77390 (or 77384 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 73113705 is about 8550.6552380505. The cubic root of 73113705 is about 418.1507987460.

The spelling of 73113705 in words is "seventy-three million, one hundred thirteen thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 77369 232107 386845 541583 696321 1160535 1624749 2088963 2707915 3481605 4874247 8123745 10444815 14622741 24371235 73113705