Search a number
-
+
1073672172 = 223510512
BaseRepresentation
bin111111111111101…
…110111111101100
32202211022012100000
4333333232333230
54144330002142
6254312304300
735415030366
oct7777567754
92684265300
101073672172
11501072881
1225b6a2090
131415932a1
14a2847d36
15643d514c
hex3ffeefec

1073672172 has 54 divisors (see below), whose sum is σ = 2817203844. Its totient is φ = 357550200.

The previous prime is 1073672167. The next prime is 1073672209. The reversal of 1073672172 is 2712763701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1021047 + ... + 1022097.

Almost surely, 21073672172 is an apocalyptic number.

1073672172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073672172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408601922).

1073672172 is an abundant number, since it is smaller than the sum of its proper divisors (1743531672).

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

1073672172 is an frugal number, since it uses more digits than its factorization.

1073672172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 1073672172 is about 32766.9371775880. The cubic root of 1073672172 is about 1023.9778577467.

The spelling of 1073672172 in words is "one billion, seventy-three million, six hundred seventy-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1051 2102 3153 4204 6306 9459 12612 18918 28377 37836 56754 85131 113508 170262 255393 340524 510786 1021572 1104601 2209202 3313803 4418404 6627606 9941409 13255212 19882818 29824227 39765636 59648454 89472681 119296908 178945362 268418043 357890724 536836086 1073672172