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67128096 = 2537191523
BaseRepresentation
bin1000000000001…
…00101100100000
311200022110102210
410000010230200
5114141044341
610354442120
71443402510
oct400045440
9150273383
1067128096
113498a372
121a593340
1310ba4589
148cb5840
155d5ec16
hex4004b20

67128096 has 96 divisors (see below), whose sum is σ = 202825728. Its totient is φ = 19042560.

The previous prime is 67128091. The next prime is 67128151. The reversal of 67128096 is 69082176.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67128091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128091 + ... + 128613.

It is an arithmetic number, because the mean of its divisors is an integer number (2112768).

Almost surely, 267128096 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 67128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101412864).

67128096 is an abundant number, since it is smaller than the sum of its proper divisors (135697632).

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

67128096 is a wasteful number, since it uses less digits than its factorization.

67128096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 67128096 is about 8193.1737440384. The cubic root of 67128096 is about 406.4134850962.

The spelling of 67128096 in words is "sixty-seven million, one hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 191 224 336 382 523 573 672 764 1046 1146 1337 1528 1569 2092 2292 2674 3056 3138 3661 4011 4184 4584 5348 6112 6276 7322 8022 8368 9168 10696 10983 12552 14644 16044 16736 18336 21392 21966 25104 29288 32088 42784 43932 50208 58576 64176 87864 99893 117152 128352 175728 199786 299679 351456 399572 599358 699251 799144 1198716 1398502 1598288 2097753 2397432 2797004 3196576 4195506 4794864 5594008 8391012 9589728 11188016 16782024 22376032 33564048 67128096