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5466168 = 233231279
BaseRepresentation
bin10100110110100000111000
3101021201011200
4110312200320
52344404133
6313054200
764314231
oct24664070
911251150
105466168
1130a38a4
1219b7360
131195026
14a24088
1572e913
hex536838

5466168 has 72 divisors (see below), whose sum is σ = 15490800. Its totient is φ = 1740960.

The previous prime is 5466127. The next prime is 5466193. The reversal of 5466168 is 8616645.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69153 + ... + 69231.

It is an arithmetic number, because the mean of its divisors is an integer number (215150).

Almost surely, 25466168 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 5466168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745400).

5466168 is an abundant number, since it is smaller than the sum of its proper divisors (10024632).

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

5466168 is a wasteful number, since it uses less digits than its factorization.

5466168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5466168 is about 2337.9837467356. The cubic root of 5466168 is about 176.1547365077.

The spelling of 5466168 in words is "five million, four hundred sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 79 93 124 158 186 237 248 279 316 372 474 558 632 711 744 948 961 1116 1422 1896 1922 2232 2449 2844 2883 3844 4898 5688 5766 7347 7688 8649 9796 11532 14694 17298 19592 22041 23064 29388 34596 44082 58776 69192 75919 88164 151838 176328 227757 303676 455514 607352 683271 911028 1366542 1822056 2733084 5466168