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21152324240 = 2453183102761
BaseRepresentation
bin10011101100110001…
…101101101010010000
32000121010211101221022
4103230301231222100
5321304443333430
613414531415012
71346113534535
oct235461555220
960533741838
1021152324240
118a74a32303
124123a54468
131cc13488b8
141049364d8c
1583beda4e5
hex4ecc6da90

21152324240 has 80 divisors (see below), whose sum is σ = 51377711616. Its totient is φ = 8089267200.

The previous prime is 21152324183. The next prime is 21152324251. The reversal of 21152324240 is 4242325112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154460 + ... + 257220.

Almost surely, 221152324240 is an apocalyptic number.

21152324240 is a gapful number since it is divisible by the number (20) 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 21152324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25688855808).

21152324240 is an abundant number, since it is smaller than the sum of its proper divisors (30225387376).

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

21152324240 is a wasteful number, since it uses less digits than its factorization.

21152324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102888 (or 102882 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 21152324240 its reverse (4242325112), we get a palindrome (25394649352).

The spelling of 21152324240 in words is "twenty-one billion, one hundred fifty-two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 83 124 155 166 248 310 332 415 496 620 664 830 1240 1328 1660 2480 2573 3320 5146 6640 10292 12865 20584 25730 41168 51460 102761 102920 205522 205840 411044 513805 822088 1027610 1644176 2055220 3185591 4110440 6371182 8220880 8529163 12742364 15927955 17058326 25484728 31855910 34116652 42645815 50969456 63711820 68233304 85291630 127423640 136466608 170583260 254847280 264404053 341166520 528808106 682333040 1057616212 1322020265 2115232424 2644040530 4230464848 5288081060 10576162120 21152324240