Search a number
-
+
73277136 = 243547401
BaseRepresentation
bin1000101111000…
…01111011010000
312002212212100000
410113201323100
5122224332021
611134330000
71546562652
oct427417320
9162785300
1073277136
11383aa219
1220659900
131224836a
149a366d2
156676b26
hex45e1ed0

73277136 has 120 divisors (see below), whose sum is σ = 217736064. Its totient is φ = 23846400.

The previous prime is 73277119. The next prime is 73277137. The reversal of 73277136 is 63177237.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73277136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73277137) 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 23 ways as a sum of consecutive naturals, for example, 182536 + ... + 182936.

Almost surely, 273277136 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 73277136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108868032).

73277136 is an abundant number, since it is smaller than the sum of its proper divisors (144458928).

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

73277136 is a wasteful number, since it uses less digits than its factorization.

73277136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 73277136 is about 8560.2065395643. The cubic root of 73277136 is about 418.4621309242.

The spelling of 73277136 in words is "seventy-three million, two hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 243 282 324 376 401 423 432 486 564 648 752 802 846 972 1128 1203 1269 1296 1604 1692 1944 2256 2406 2538 3208 3384 3609 3807 3888 4812 5076 6416 6768 7218 7614 9624 10152 10827 11421 14436 15228 18847 19248 20304 21654 22842 28872 30456 32481 37694 43308 45684 56541 57744 60912 64962 75388 86616 91368 97443 113082 129924 150776 169623 173232 182736 194886 226164 259848 301552 339246 389772 452328 508869 519696 678492 779544 904656 1017738 1356984 1526607 1559088 2035476 2713968 3053214 4070952 4579821 6106428 8141904 9159642 12212856 18319284 24425712 36638568 73277136