Search a number
-
+
24073740 = 22335109409
BaseRepresentation
bin101101111010…
…1011000001100
31200022001222000
41123311120030
522130324430
62215552300
7411423555
oct133653014
950261860
1024073740
1112652a59
12808b690
134cab722
1432a932c
1521a7e60
hex16f560c

24073740 has 96 divisors (see below), whose sum is σ = 75768000. Its totient is φ = 6345216.

The previous prime is 24073697. The next prime is 24073747. The reversal of 24073740 is 4737042.

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 (24073747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58656 + ... + 59064.

It is an arithmetic number, because the mean of its divisors is an integer number (789250).

Almost surely, 224073740 is an apocalyptic number.

24073740 is a gapful number since it is divisible by the number (20) 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 24073740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37884000).

24073740 is an abundant number, since it is smaller than the sum of its proper divisors (51694260).

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

24073740 is a wasteful number, since it uses less digits than its factorization.

24073740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 24073740 is about 4906.4997707123. The cubic root of 24073740 is about 288.7450328037.

The spelling of 24073740 in words is "twenty-four million, seventy-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 409 436 540 545 654 818 981 1090 1227 1308 1635 1636 1962 2045 2180 2454 2943 3270 3681 3924 4090 4905 4908 5886 6135 6540 7362 8180 9810 11043 11772 12270 14715 14724 18405 19620 22086 24540 29430 36810 44172 44581 55215 58860 73620 89162 110430 133743 178324 220860 222905 267486 401229 445810 534972 668715 802458 891620 1203687 1337430 1604916 2006145 2407374 2674860 4012290 4814748 6018435 8024580 12036870 24073740