Search a number
-
+
73600020 = 223251371443
BaseRepresentation
bin1000110001100…
…00110000010100
312010111021020200
410120300300110
5122320200040
611145300500
71552406214
oct430606024
9163437220
1073600020
11385aa86a
1220794730
131232c310
149abc244
1566dc630
hex4630c14

73600020 has 144 divisors (see below), whose sum is σ = 244363392. Its totient is φ = 17821440.

The previous prime is 73600019. The next prime is 73600031. The reversal of 73600020 is 2000637.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 73599966 and 73600002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165919 + ... + 166361.

It is an arithmetic number, because the mean of its divisors is an integer number (1696968).

Almost surely, 273600020 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 73600020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122181696).

73600020 is an abundant number, since it is smaller than the sum of its proper divisors (170763372).

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

73600020 is a wasteful number, since it uses less digits than its factorization.

73600020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73600020 is about 8579.0454014418. The cubic root of 73600020 is about 419.0758592284.

Adding to 73600020 its reverse (2000637), we get a palindrome (75600657).

The spelling of 73600020 in words is "seventy-three million, six hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 443 468 585 639 710 780 852 886 923 1065 1170 1278 1329 1420 1772 1846 2130 2215 2340 2556 2658 2769 3195 3692 3987 4260 4430 4615 5316 5538 5759 6390 6645 7974 8307 8860 9230 11076 11518 12780 13290 13845 15948 16614 17277 18460 19935 23036 26580 27690 28795 31453 33228 34554 39870 41535 51831 55380 57590 62906 69108 79740 83070 86385 94359 103662 115180 125812 157265 166140 172770 188718 207324 259155 283077 314530 345540 377436 408889 471795 518310 566154 629060 817778 943590 1036620 1132308 1226667 1415385 1635556 1887180 2044445 2453334 2830770 3680001 4088890 4906668 5661540 6133335 7360002 8177780 12266670 14720004 18400005 24533340 36800010 73600020