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68131764 = 22324767601
BaseRepresentation
bin1000000111110…
…01101110110100
311202012110012200
410003321232310
5114420204024
610432144500
71455052611
oct403715664
9152173180
1068131764
1135505448
121a998130
131116636c
149097508
155eac2c9
hex40f9bb4

68131764 has 72 divisors (see below), whose sum is σ = 178808448. Its totient is φ = 21859200.

The previous prime is 68131757. The next prime is 68131771. The reversal of 68131764 is 46713186.

It is an interprime number because it is at equal distance from previous prime (68131757) and next prime (68131771).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113064 + ... + 113664.

Almost surely, 268131764 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 68131764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89404224).

68131764 is an abundant number, since it is smaller than the sum of its proper divisors (110676684).

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

68131764 is a wasteful number, since it uses less digits than its factorization.

68131764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 68131764 is about 8254.1967507444. The cubic root of 68131764 is about 408.4289749959.

The spelling of 68131764 in words is "sixty-eight million, one hundred thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 67 94 134 141 188 201 268 282 402 423 564 601 603 804 846 1202 1206 1692 1803 2404 2412 3149 3606 5409 6298 7212 9447 10818 12596 18894 21636 28247 28341 37788 40267 56494 56682 80534 84741 112988 113364 120801 161068 169482 241602 254223 338964 362403 483204 508446 724806 1016892 1449612 1892549 3785098 5677647 7570196 11355294 17032941 22710588 34065882 68131764