Search a number
-
+
10662010240 = 27574215653
BaseRepresentation
bin10011110111000000…
…10101110110000000
31000112001110020110011
421323200111312000
5133313433311430
64521551514304
7525133406650
oct117340256600
930461406404
1010662010240
114581477112
122096828994
13100bbb7ccb
1473204c360
1542607922a
hex27b815d80

10662010240 has 128 divisors (see below), whose sum is σ = 29204493120. Its totient is φ = 3646218240.

The previous prime is 10662010199. The next prime is 10662010267. The reversal of 10662010240 is 4201026601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106620102402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883254 + ... + 1888906.

Almost surely, 210662010240 is an apocalyptic number.

10662010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10662010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602246560).

10662010240 is an abundant number, since it is smaller than the sum of its proper divisors (18542482880).

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

10662010240 is an equidigital number, since it uses as much as digits as its factorization.

10662010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10662010240 its reverse (4201026601), we get a palindrome (14863036841).

The spelling of 10662010240 in words is "ten billion, six hundred sixty-two million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 421 448 560 640 842 896 1120 1684 2105 2240 2947 3368 4210 4480 5653 5894 6736 8420 11306 11788 13472 14735 16840 22612 23576 26944 28265 29470 33680 39571 45224 47152 53888 56530 58940 67360 79142 90448 94304 113060 117880 134720 158284 180896 188608 197855 226120 235760 269440 316568 361792 377216 395710 452240 471520 633136 723584 791420 904480 943040 1266272 1582840 1808960 1886080 2379913 2532544 3165680 3617920 4759826 5065088 6331360 9519652 11899565 12662720 16659391 19039304 23799130 25325440 33318782 38078608 47598260 66637564 76157216 83296955 95196520 133275128 152314432 166593910 190393040 266550256 304628864 333187820 380786080 533100512 666375640 761572160 1066201024 1332751280 1523144320 2132402048 2665502560 5331005120 10662010240