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68832840 = 23351035569
BaseRepresentation
bin1000001101001…
…00111001001000
311210112001220110
410012210321020
5120110122330
610455154320
71464032556
oct406447110
9153461813
1068832840
113594414a
121b0759a0
13113504bb
1491dabd6
156099db0
hex41a4e48

68832840 has 64 divisors (see below), whose sum is σ = 208540800. Its totient is φ = 18173952.

The previous prime is 68832823. The next prime is 68832851. The reversal of 68832840 is 4823886.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 9576 + ... + 15144.

It is an arithmetic number, because the mean of its divisors is an integer number (3258450).

Almost surely, 268832840 is an apocalyptic number.

68832840 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 68832840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104270400).

68832840 is an abundant number, since it is smaller than the sum of its proper divisors (139707960).

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

68832840 is a wasteful number, since it uses less digits than its factorization.

68832840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 68832840 is about 8296.5559119432. Note that the first 3 decimals coincide. The cubic root of 68832840 is about 409.8251088309.

The spelling of 68832840 in words is "sixty-eight million, eight hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 5569 6180 11138 12360 16707 22276 27845 33414 44552 55690 66828 83535 111380 133656 167070 222760 334140 573607 668280 1147214 1720821 2294428 2868035 3441642 4588856 5736070 6883284 8604105 11472140 13766568 17208210 22944280 34416420 68832840