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2421003024 = 2432116432377
BaseRepresentation
bin1001000001001101…
…1001001100010000
320020201112200210200
42100103121030100
514424234044044
61040122255200
7113665120566
oct22023311420
96221480720
102421003024
111032658450
12576957500
132c776078b
1418d769a36
15e2824369
hex904d9310

2421003024 has 120 divisors (see below), whose sum is σ = 7406005152. Its totient is φ = 732188160.

The previous prime is 2421002993. The next prime is 2421003049. The reversal of 2421003024 is 4203001242.

It is a super-2 number, since 2×24210030242 = 11722511284434289152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2421002988 and 2421003006.

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 23 ways as a sum of consecutive naturals, for example, 1017324 + ... + 1019700.

Almost surely, 22421003024 is an apocalyptic number.

2421003024 is a gapful number since it is divisible by the number (24) 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 2421003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703002576).

2421003024 is an abundant number, since it is smaller than the sum of its proper divisors (4985002128).

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

2421003024 is a wasteful number, since it uses less digits than its factorization.

2421003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2421003024 is about 49203.6891299829. The cubic root of 2421003024 is about 1342.7601501611.

Adding to 2421003024 its reverse (4203001242), we get a palindrome (6624004266).

The spelling of 2421003024 in words is "two billion, four hundred twenty-one million, three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 643 792 1286 1584 1929 2377 2572 3858 4754 5144 5787 7073 7131 7716 9508 10288 11574 14146 14262 15432 19016 21219 21393 23148 26147 28292 28524 30864 38032 42438 42786 46296 52294 56584 57048 63657 78441 84876 85572 92592 104588 113168 114096 127314 156882 169752 171144 209176 235323 254628 313764 339504 342288 418352 470646 509256 627528 941292 1018512 1255056 1528411 1882584 3056822 3765168 4585233 6113644 9170466 12227288 13755699 16812521 18340932 24454576 27511398 33625042 36681864 50437563 55022796 67250084 73363728 100875126 110045592 134500168 151312689 201750252 220091184 269000336 302625378 403500504 605250756 807001008 1210501512 2421003024