Search a number
-
+
67114728 = 2332932149
BaseRepresentation
bin1000000000000…
…01011011101000
311200021210002200
410000001123220
5114140132403
610354300200
71443315522
oct400013350
9150253080
1067114728
113498031a
121a587660
1310b9b475
148cb0a12
155d5aca3
hex40016e8

67114728 has 24 divisors (see below), whose sum is σ = 181769250. Its totient is φ = 22371552.

The previous prime is 67114717. The next prime is 67114739. The reversal of 67114728 is 82741176.

It is an interprime number because it is at equal distance from previous prime (67114717) and next prime (67114739).

It can be written as a sum of positive squares in only one way, i.e., 64352484 + 2762244 = 8022^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67114692 and 67114701.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 466003 + ... + 466146.

Almost surely, 267114728 is an apocalyptic number.

It is an amenable number.

67114728 is an abundant number, since it is smaller than the sum of its proper divisors (114654522).

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

67114728 is a wasteful number, since it uses less digits than its factorization.

67114728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932161 (or 932154 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 67114728 is about 8192.3579023380. The cubic root of 67114728 is about 406.3865053541.

The spelling of 67114728 in words is "sixty-seven million, one hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 932149 1864298 2796447 3728596 5592894 7457192 8389341 11185788 16778682 22371576 33557364 67114728