Search a number
-
+
68289024 = 293231933
BaseRepresentation
bin1000001001000…
…00001000000000
311202111102221010
410010200020000
5114440222044
610435400520
71456306236
oct404401000
9152442833
1068289024
1135602611
121aa53140
13111bcb0b
1490d8956
155eddbb9
hex4120200

68289024 has 80 divisors (see below), whose sum is σ = 189934272. Its totient is φ = 21762048.

The previous prime is 68288999. The next prime is 68289049. The reversal of 68289024 is 42098286.

It is an interprime number because it is at equal distance from previous prime (68288999) and next prime (68289049).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34362 + ... + 36294.

Almost surely, 268289024 is an apocalyptic number.

68289024 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 68289024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94967136).

68289024 is an abundant number, since it is smaller than the sum of its proper divisors (121645248).

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

68289024 is a wasteful number, since it uses less digits than its factorization.

68289024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68289024 is about 8263.7173233358. The cubic root of 68289024 is about 408.7429753116.

The spelling of 68289024 in words is "sixty-eight million, two hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 1933 2208 2944 3866 4416 5799 5888 7732 8832 11598 11776 15464 17664 23196 30928 35328 44459 46392 61856 88918 92784 123712 133377 177836 185568 247424 266754 355672 371136 494848 533508 711344 742272 989696 1067016 1422688 1484544 2134032 2845376 2969088 4268064 5690752 8536128 11381504 17072256 22763008 34144512 68289024