Search a number
-
+
69634890 = 23451317389
BaseRepresentation
bin1000010011010…
…00101101001010
311212000211010000
410021220231022
5120311304030
610524303430
71503613113
oct411505512
9155024100
1069634890
11363417a6
121b3a1b76
13115715a0
14936920a
1561a7860
hex4268b4a

69634890 has 160 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 16091136.

The previous prime is 69634889. The next prime is 69634913. The reversal of 69634890 is 9843696.

69634890 is a `hidden beast` number, since 6 + 9 + 634 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17665209 + 51969681 = 4203^2 + 7209^2 .

It is a super-3 number, since 3×696348903 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178816 + ... + 179204.

Almost surely, 269634890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69634890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

69634890 is an abundant number, since it is smaller than the sum of its proper divisors (144418950).

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

69634890 is a wasteful number, since it uses less digits than its factorization.

69634890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 69634890 is about 8344.7522431765. The cubic root of 69634890 is about 411.4107460655.

The spelling of 69634890 in words is "sixty-nine million, six hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 389 390 405 442 459 510 585 663 702 765 778 810 918 1053 1105 1167 1170 1326 1377 1530 1755 1945 1989 2106 2210 2295 2334 2754 3315 3501 3510 3890 3978 4590 5057 5265 5835 5967 6613 6630 6885 7002 9945 10114 10503 10530 11670 11934 13226 13770 15171 17505 17901 19839 19890 21006 25285 29835 30342 31509 33065 35010 35802 39678 45513 50570 52515 59517 59670 63018 66130 75855 85969 89505 91026 99195 105030 119034 136539 151710 157545 171938 178551 179010 198390 227565 257907 273078 297585 315090 357102 409617 429845 455130 515814 535653 595170 682695 773721 819234 859690 892755 1071306 1289535 1365390 1547442 1785510 2048085 2321163 2579070 2678265 3868605 4096170 4642326 5356530 6963489 7737210 11605815 13926978 23211630 34817445 69634890