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68050680 = 23352232543
BaseRepresentation
bin1000000111001…
…01111011111000
311202001022222120
410003211323320
5114410110210
610430321240
71454264325
oct403457370
9152038876
1068050680
113545a535
121a959220
1311138499
149075b4c
155e93270
hex40e5ef8

68050680 has 64 divisors (see below), whose sum is σ = 205148160. Its totient is φ = 18058368.

The previous prime is 68050667. The next prime is 68050681. The reversal of 68050680 is 8605086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68050681) 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, 25489 + ... + 28031.

It is an arithmetic number, because the mean of its divisors is an integer number (3205440).

Almost surely, 268050680 is an apocalyptic number.

68050680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68050680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102574080).

68050680 is an abundant number, since it is smaller than the sum of its proper divisors (137097480).

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

68050680 is a wasteful number, since it uses less digits than its factorization.

68050680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 68050680 is about 8249.2836052593. The cubic root of 68050680 is about 408.2668861289.

It can be divided in two parts, 680 and 50680, that added together give a triangular number (51360 = T320).

The spelling of 68050680 in words is "sixty-eight million, fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2543 2676 3345 4460 5086 5352 6690 7629 8920 10172 12715 13380 15258 20344 25430 26760 30516 38145 50860 61032 76290 101720 152580 305160 567089 1134178 1701267 2268356 2835445 3402534 4536712 5670890 6805068 8506335 11341780 13610136 17012670 22683560 34025340 68050680