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1674132066 = 2321938312781
BaseRepresentation
bin110001111001001…
…0011101001100010
311022200011201110100
41203302103221202
511412034211231
6434042243230
756325613335
oct14362235142
94280151410
101674132066
1178a005222
123a87b6516
13208ac02b9
1411c4b061c
159be941e6
hex63c93a62

1674132066 has 48 divisors (see below), whose sum is σ = 3828464640. Its totient is φ = 527251680.

The previous prime is 1674132059. The next prime is 1674132077. The reversal of 1674132066 is 6602314761.

It is a happy number.

1674132066 is a `hidden beast` number, since 167 + 413 + 20 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1674132066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124596 + ... + 137376.

It is an arithmetic number, because the mean of its divisors is an integer number (79759680).

Almost surely, 21674132066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1674132066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914232320).

1674132066 is an abundant number, since it is smaller than the sum of its proper divisors (2154332574).

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

1674132066 is a wasteful number, since it uses less digits than its factorization.

1674132066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13191 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1674132066 is about 40916.1589839516. The cubic root of 1674132066 is about 1187.3987068688.

The spelling of 1674132066 in words is "one billion, six hundred seventy-four million, one hundred thirty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 383 766 1149 2298 3447 6894 7277 12781 14554 21831 25562 38343 43662 65493 76686 115029 130986 230058 242839 485678 728517 1457034 2185551 4371102 4895123 9790246 14685369 29370738 44056107 88112214 93007337 186014674 279022011 558044022 837066033 1674132066