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67296096 = 253473709
BaseRepresentation
bin1000000001011…
…01101101100000
311200121222220000
410000231231200
5114211433341
610402220000
71445002350
oct400555540
9150558800
1067296096
1134a9460a
121a654600
1310c32b9a
148d1ab60
155d948b6
hex402db60

67296096 has 120 divisors (see below), whose sum is σ = 226250640. Its totient is φ = 19222272.

The previous prime is 67296067. The next prime is 67296107. The reversal of 67296096 is 69069276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16290 + ... + 19998.

It is an arithmetic number, because the mean of its divisors is an integer number (1885422).

Almost surely, 267296096 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 67296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113125320).

67296096 is an abundant number, since it is smaller than the sum of its proper divisors (158954544).

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

67296096 is a wasteful number, since it uses less digits than its factorization.

67296096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 67296096 is about 8203.4197747037. The cubic root of 67296096 is about 406.7522433300.

The spelling of 67296096 in words is "sixty-seven million, two hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 3709 4536 6048 7418 9072 11127 14836 18144 22254 25963 29672 33381 44508 51926 59344 66762 77889 89016 100143 103852 118688 133524 155778 178032 200286 207704 233667 267048 300429 311556 356064 400572 415408 467334 534096 600858 623112 701001 801144 830816 934668 1068192 1201716 1246224 1402002 1602288 1869336 2103003 2403432 2492448 2804004 3204576 3738672 4206006 4806864 5608008 7477344 8412012 9613728 11216016 16824024 22432032 33648048 67296096