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68973184 = 27731571
BaseRepresentation
bin1000001110001…
…11001010000000
311210210012102101
410013013022000
5120124120214
610502200144
71465156000
oct407071200
9153705371
1068973184
1135a2a635
121b123054
131139c347
149236000
1560c6774
hex41c7280

68973184 has 64 divisors (see below), whose sum is σ = 160344000. Its totient is φ = 29541120.

The previous prime is 68973167. The next prime is 68973187. The reversal of 68973184 is 48137986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×689731842 = 9514600222195712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68973187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43119 + ... + 44689.

It is an arithmetic number, because the mean of its divisors is an integer number (2505375).

Almost surely, 268973184 is an apocalyptic number.

68973184 is a gapful number since it is divisible by the number (64) 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 68973184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80172000).

68973184 is an abundant number, since it is smaller than the sum of its proper divisors (91370816).

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

68973184 is an equidigital number, since it uses as much as digits as its factorization.

68973184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1580 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 68973184 is about 8305.0095725411. The cubic root of 68973184 is about 410.1034519830.

The spelling of 68973184 in words is "sixty-eight million, nine hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 1571 2744 3136 3142 5488 6272 6284 10976 10997 12568 21952 21994 25136 43904 43988 50272 76979 87976 100544 153958 175952 201088 307916 351904 538853 615832 703808 1077706 1231664 1407616 2155412 2463328 4310824 4926656 8621648 9853312 17243296 34486592 68973184