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68070144 = 283611453
BaseRepresentation
bin1000000111010…
…10101100000000
311202002022200110
410003222230000
5114411221034
610430551320
71454405142
oct403525400
9152068613
1068070144
113547311a
121a968540
13111442bc
14907cc92
155e98de9
hex40eab00

68070144 has 72 divisors (see below), whose sum is σ = 184262512. Its totient is φ = 22302720.

The previous prime is 68070143. The next prime is 68070169. The reversal of 68070144 is 44107086.

It is not an unprimeable number, because it can be changed into a prime (68070143) 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, 46122 + ... + 47574.

Almost surely, 268070144 is an apocalyptic number.

68070144 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 68070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131256).

68070144 is an abundant number, since it is smaller than the sum of its proper divisors (116192368).

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

68070144 is a wasteful number, since it uses less digits than its factorization.

68070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 68070144 is about 8250.4632597206. The cubic root of 68070144 is about 408.3058068723.

The spelling of 68070144 in words is "sixty-eight million, seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1453 1464 1952 2906 2928 3904 4359 5812 5856 7808 8718 11624 11712 15616 17436 23248 23424 34872 46496 46848 69744 88633 92992 139488 177266 185984 265899 278976 354532 371968 531798 557952 709064 1063596 1115904 1418128 2127192 2836256 4254384 5672512 8508768 11345024 17017536 22690048 34035072 68070144