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68666880 = 29358941
BaseRepresentation
bin1000001011111…
…00011000000000
311210012122020210
410011330120000
5120034320010
610451434120
71462441662
oct405743000
9153178223
1068666880
1135840497
121abb5940
13112c2ab9
149196532
156065b20
hex417c600

68666880 has 80 divisors (see below), whose sum is σ = 219543984. Its totient is φ = 18309120.

The previous prime is 68666849. The next prime is 68666903. The reversal of 68666880 is 8866686.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3210 + ... + 12150.

Almost surely, 268666880 is an apocalyptic number.

68666880 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 68666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771992).

68666880 is an abundant number, since it is smaller than the sum of its proper divisors (150877104).

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

68666880 is an equidigital number, since it uses as much as digits as its factorization.

68666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8967 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 68666880 is about 8286.5481353818. The cubic root of 68666880 is about 409.4954730022.

The spelling of 68666880 in words is "sixty-eight million, six hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 8941 17882 26823 35764 44705 53646 71528 89410 107292 134115 143056 178820 214584 268230 286112 357640 429168 536460 572224 715280 858336 1072920 1144448 1430560 1716672 2145840 2288896 2861120 3433344 4291680 4577792 5722240 6866688 8583360 11444480 13733376 17166720 22888960 34333440 68666880