Search a number
-
+
73495040 = 295191511
BaseRepresentation
bin1000110000101…
…11001000000000
312010021221020112
410120113020000
5122303320130
611143130452
71551461153
oct430271000
9163257215
1073495040
1138538a03
1220743a28
13122c35b8
149a91c9a
1566bb495
hex4617200

73495040 has 80 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 27832320.

The previous prime is 73495039. The next prime is 73495049. The reversal of 73495040 is 4059437.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 73494988 and 73495006.

It is not an unprimeable number, because it can be changed into a prime (73495049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47885 + ... + 49395.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 273495040 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 73495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

73495040 is an abundant number, since it is smaller than the sum of its proper divisors (112118080).

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

73495040 is a wasteful number, since it uses less digits than its factorization.

73495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 73495040 is about 8572.9248217863. The cubic root of 73495040 is about 418.8765136411.

The spelling of 73495040 in words is "seventy-three million, four hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1216 1280 1511 1520 2432 2560 3022 3040 4864 6044 6080 7555 9728 12088 12160 15110 24176 24320 28709 30220 48352 48640 57418 60440 96704 114836 120880 143545 193408 229672 241760 287090 386816 459344 483520 574180 773632 918688 967040 1148360 1837376 1934080 2296720 3674752 3868160 4593440 7349504 9186880 14699008 18373760 36747520 73495040