Search a number
-
+
73404720 = 24325269379
BaseRepresentation
bin1000110000000…
…01000100110000
312010010100100100
410120001010300
5122242422340
611141152400
71550633634
oct430010460
9163110310
1073404720
1138487064
12206bb700
131229145c
149a6adc4
15669e830
hex4601130

73404720 has 120 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 19450368.

The previous prime is 73404659. The next prime is 73404739. The reversal of 73404720 is 2740437.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193491 + ... + 193869.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 273404720 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 73404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

73404720 is an abundant number, since it is smaller than the sum of its proper divisors (174682080).

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

73404720 is a wasteful number, since it uses less digits than its factorization.

73404720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

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

The square root of 73404720 is about 8567.6554552573. The cubic root of 73404720 is about 418.7048538245.

The spelling of 73404720 in words is "seventy-three million, four hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 269 360 379 538 720 758 807 1076 1137 1345 1516 1614 1895 2152 2274 2421 2690 3032 3228 3411 3790 4035 4304 4548 4842 5380 5685 6064 6456 6822 7580 8070 9096 9684 10760 11370 12105 12912 13644 15160 16140 17055 18192 19368 21520 22740 24210 27288 30320 32280 34110 38736 45480 48420 54576 64560 68220 90960 96840 101951 136440 193680 203902 272880 305853 407804 509755 611706 815608 917559 1019510 1223412 1529265 1631216 1835118 2039020 2446824 3058530 3670236 4078040 4587795 4893648 6117060 7340472 8156080 9175590 12234120 14680944 18351180 24468240 36702360 73404720