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67868460 = 2232511151227
BaseRepresentation
bin1000000101110…
…01011100101100
311201201002000200
410002321130230
5114333242320
610422353500
71452605142
oct402713454
9151632020
1067868460
1135345640
121a88b890
13110a356a
149029592
155e59290
hex40b972c

67868460 has 144 divisors (see below), whose sum is σ = 227066112. Its totient is φ = 16272000.

The previous prime is 67868459. The next prime is 67868477. The reversal of 67868460 is 6486876.

It is a happy number.

It is a super-2 number, since 2×678684602 = 9212255725543200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298867 + ... + 299093.

It is an arithmetic number, because the mean of its divisors is an integer number (1576848).

Almost surely, 267868460 is an apocalyptic number.

67868460 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 67868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056).

67868460 is an abundant number, since it is smaller than the sum of its proper divisors (159197652).

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

67868460 is a wasteful number, since it uses less digits than its factorization.

67868460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 67868460 is about 8238.2316063582. The cubic root of 67868460 is about 407.9021535837.

The spelling of 67868460 in words is "sixty-seven million, eight hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 227 302 330 396 453 454 495 604 660 681 755 906 908 990 1135 1359 1362 1510 1661 1812 1980 2043 2265 2270 2497 2718 2724 3020 3322 3405 4086 4530 4540 4983 4994 5436 6644 6795 6810 7491 8172 8305 9060 9966 9988 10215 12485 13590 13620 14949 14982 16610 19932 20430 22473 24915 24970 27180 29898 29964 33220 34277 37455 40860 44946 49830 49940 59796 68554 74745 74910 89892 99660 102831 112365 137108 149490 149820 171385 205662 224730 298980 308493 342770 377047 411324 449460 514155 616986 685540 754094 1028310 1131141 1233972 1508188 1542465 1885235 2056620 2262282 3084930 3393423 3770470 4524564 5655705 6169860 6786846 7540940 11311410 13573692 16967115 22622820 33934230 67868460