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73231104 = 283177179
BaseRepresentation
bin1000101110101…
…10101100000000
312002210112012010
410113112230000
5122221343404
611133332520
71546311522
oct427265400
9162715163
1073231104
1138378681
1220637140
131223041b
149a23a12
156668189
hex45d6b00

73231104 has 144 divisors (see below), whose sum is σ = 211921920. Its totient is φ = 22364160.

The previous prime is 73231097. The next prime is 73231117. The reversal of 73231104 is 40113237.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926937 + ... + 927015.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 273231104 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 73231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

73231104 is an abundant number, since it is smaller than the sum of its proper divisors (138690816).

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

73231104 is a wasteful number, since it uses less digits than its factorization.

73231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73231104 is about 8557.5173970025. The cubic root of 73231104 is about 418.3744879257.

The spelling of 73231104 in words is "seventy-three million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 79 96 102 128 136 142 158 192 204 213 237 256 272 284 316 384 408 426 474 544 568 632 768 816 852 948 1088 1136 1207 1264 1343 1632 1704 1896 2176 2272 2414 2528 2686 3264 3408 3621 3792 4029 4352 4544 4828 5056 5372 5609 6528 6816 7242 7584 8058 9088 9656 10112 10744 11218 13056 13632 14484 15168 16116 16827 18176 19312 20224 21488 22436 27264 28968 30336 32232 33654 38624 42976 44872 54528 57936 60672 64464 67308 77248 85952 89744 95353 115872 128928 134616 154496 171904 179488 190706 231744 257856 269232 286059 308992 343808 358976 381412 463488 515712 538464 572118 717952 762824 926976 1031424 1076928 1144236 1435904 1525648 2153856 2288472 3051296 4307712 4576944 6102592 9153888 12205184 18307776 24410368 36615552 73231104