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68051232 = 253379997
BaseRepresentation
bin1000000111001…
…10000100100000
311202001100202000
410003212010200
5114410114412
610430324000
71454266044
oct403460440
9152040660
1068051232
113545a997
121a959600
1311138802
149076024
155e934dc
hex40e6120

68051232 has 96 divisors (see below), whose sum is σ = 201196800. Its totient is φ = 22374144.

The previous prime is 68051219. The next prime is 68051233. The reversal of 68051232 is 23215086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 68051196 and 68051205.

It is not an unprimeable number, because it can be changed into a prime (68051233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67758 + ... + 68754.

It is an arithmetic number, because the mean of its divisors is an integer number (2095800).

Almost surely, 268051232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68051232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100598400).

68051232 is an abundant number, since it is smaller than the sum of its proper divisors (133145568).

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

68051232 is a wasteful number, since it uses less digits than its factorization.

68051232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68051232 is about 8249.3170626422. The cubic root of 68051232 is about 408.2679900253.

The spelling of 68051232 in words is "sixty-eight million, fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 997 1264 1422 1896 1994 2133 2528 2844 2991 3792 3988 4266 5688 5982 7584 7976 8532 8973 11376 11964 15952 17064 17946 22752 23928 26919 31904 34128 35892 47856 53838 68256 71784 78763 95712 107676 143568 157526 215352 236289 287136 315052 430704 472578 630104 708867 861408 945156 1260208 1417734 1890312 2126601 2520416 2835468 3780624 4253202 5670936 7561248 8506404 11341872 17012808 22683744 34025616 68051232