Search a number
-
+
68871960 = 233251910069
BaseRepresentation
bin1000001101011…
…10011100011000
311210121001120100
410012232130120
5120112400320
610500055400
71464254613
oct406563430
9153531510
1068871960
1135970583
121b094560
1311365251
14920b17a
1560a6790
hex41ae718

68871960 has 96 divisors (see below), whose sum is σ = 235638000. Its totient is φ = 17397504.

The previous prime is 68871949. The next prime is 68871961. The reversal of 68871960 is 6917886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68871961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1806 + ... + 11874.

Almost surely, 268871960 is an apocalyptic number.

68871960 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 68871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117819000).

68871960 is an abundant number, since it is smaller than the sum of its proper divisors (166766040).

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

68871960 is a wasteful number, since it uses less digits than its factorization.

68871960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 68871960 is about 8298.9131818570. The cubic root of 68871960 is about 409.9027332225.

The spelling of 68871960 in words is "sixty-eight million, eight hundred seventy-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 10069 20138 30207 40276 50345 60414 80552 90621 100690 120828 151035 181242 191311 201380 241656 302070 362484 382622 402760 453105 573933 604140 724968 765244 906210 956555 1147866 1208280 1530488 1721799 1812420 1913110 2295732 2869665 3443598 3624840 3826220 4591464 5739330 6887196 7652440 8608995 11478660 13774392 17217990 22957320 34435980 68871960