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68761260 = 223251723977
BaseRepresentation
bin1000001100100…
…11011010101100
311210101102201100
410012103122230
5120100330020
610453443100
71463314101
oct406233254
9153342640
1068761260
11358a5397
121b040490
1311326a49
1491bcaa8
156083a90
hex41936ac

68761260 has 144 divisors (see below), whose sum is σ = 230682816. Its totient is φ = 16490496.

The previous prime is 68761249. The next prime is 68761261. The reversal of 68761260 is 6216786.

It is a happy number.

It is a super-2 number, since 2×687612602 = 9456221753575200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (68761261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69892 + ... + 70868.

It is an arithmetic number, because the mean of its divisors is an integer number (1601964).

Almost surely, 268761260 is an apocalyptic number.

68761260 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 68761260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115341408).

68761260 is an abundant number, since it is smaller than the sum of its proper divisors (161921556).

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

68761260 is a wasteful number, since it uses less digits than its factorization.

68761260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1027 counting only the distinct ones).

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

The square root of 68761260 is about 8292.2409516367. The cubic root of 68761260 is about 409.6829990673.

68761260 divided by its sum of digits (36) gives a triangular number (1910035 = T1954).

The spelling of 68761260 in words is "sixty-eight million, seven hundred sixty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 977 1020 1035 1173 1380 1530 1564 1954 1955 2070 2346 2931 3060 3519 3908 3910 4140 4692 4885 5862 5865 7038 7820 8793 9770 11724 11730 14076 14655 16609 17586 17595 19540 22471 23460 29310 33218 35172 35190 43965 44942 49827 58620 66436 67413 70380 83045 87930 89884 99654 112355 134826 149481 166090 175860 199308 202239 224710 249135 269652 298962 332180 337065 382007 404478 449420 498270 597924 674130 747405 764014 808956 996540 1011195 1146021 1348260 1494810 1528028 1910035 2022390 2292042 2989620 3438063 3820070 4044780 4584084 5730105 6876126 7640140 11460210 13752252 17190315 22920420 34380630 68761260