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68093088 = 2537107947
BaseRepresentation
bin1000000111100…
…00010010100000
311202010111011020
410003300102200
5114412434323
610431245440
71454532060
oct403602240
9152114136
1068093088
1135489388
121a979880
131115188b
1490873a0
155ea0ae3
hex40f04a0

68093088 has 96 divisors (see below), whose sum is σ = 206406144. Its totient is φ = 19252992.

The previous prime is 68093033. The next prime is 68093107. The reversal of 68093088 is 88039086.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71431 + ... + 72377.

It is an arithmetic number, because the mean of its divisors is an integer number (2150064).

Almost surely, 268093088 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 68093088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103203072).

68093088 is an abundant number, since it is smaller than the sum of its proper divisors (138313056).

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

68093088 is a wasteful number, since it uses less digits than its factorization.

68093088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 68093088 is about 8251.8536099473. The cubic root of 68093088 is about 408.3516767918.

The spelling of 68093088 in words is "sixty-eight million, ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 947 1284 1498 1712 1894 2247 2568 2841 2996 3424 3788 4494 5136 5682 5992 6629 7576 8988 10272 11364 11984 13258 15152 17976 19887 22728 23968 26516 30304 35952 39774 45456 53032 71904 79548 90912 101329 106064 159096 202658 212128 303987 318192 405316 607974 636384 709303 810632 1215948 1418606 1621264 2127909 2431896 2837212 3242528 4255818 4863792 5674424 8511636 9727584 11348848 17023272 22697696 34046544 68093088