Search a number
-
+
1673265090 = 235716348883
BaseRepresentation
bin110001110111011…
…1111111111000010
311022121112200012010
41203232333333002
511411323440330
6434011513350
756315342610
oct14356777702
94277480163
101673265090
11789572912
123a8458856
132088787b3
1411c3266b0
159bd723b0
hex63bbffc2

1673265090 has 64 divisors (see below), whose sum is σ = 4617778176. Its totient is φ = 380106432.

The previous prime is 1673265089. The next prime is 1673265091. The reversal of 1673265090 is 905623761.

It is an interprime number because it is at equal distance from previous prime (1673265089) and next prime (1673265091).

It is a super-2 number, since 2×16732650902 = 5599632122825416200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1673265091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9789 + ... + 58671.

It is an arithmetic number, because the mean of its divisors is an integer number (72152784).

Almost surely, 21673265090 is an apocalyptic number.

1673265090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1673265090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308889088).

1673265090 is an abundant number, since it is smaller than the sum of its proper divisors (2944513086).

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

1673265090 is a wasteful number, since it uses less digits than its factorization.

1673265090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49063.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 1673265090 is about 40905.5630690986. The cubic root of 1673265090 is about 1187.1937003546.

The spelling of 1673265090 in words is "one billion, six hundred seventy-three million, two hundred sixty-five thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2282 2445 3423 4890 5705 6846 11410 17115 34230 48883 97766 146649 244415 293298 342181 488830 684362 733245 1026543 1466490 1710905 2053086 3421810 5132715 7967929 10265430 15935858 23903787 39839645 47807574 55775503 79679290 111551006 119518935 167326509 239037870 278877515 334653018 557755030 836632545 1673265090