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2421003840 = 26354753657
BaseRepresentation
bin1001000001001101…
…1001011001000000
320020201112201220220
42100103121121000
514424234110330
61040122303040
7113665123143
oct22023313100
96221481826
102421003840
111032659022
12576957a80
132c7760c68
1418d76a05a
15e2824710
hex904d9640

2421003840 has 112 divisors (see below), whose sum is σ = 7850380032. Its totient is φ = 631853056.

The previous prime is 2421003833. The next prime is 2421003911. The reversal of 2421003840 is 483001242.

It is a super-2 number, since 2×24210038402 = 11722519186589491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2421003840.

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 15 ways as a sum of consecutive naturals, for example, 18292 + ... + 71948.

Almost surely, 22421003840 is an apocalyptic number.

2421003840 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 2421003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925190016).

2421003840 is an abundant number, since it is smaller than the sum of its proper divisors (5429376192).

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

2421003840 is a wasteful number, since it uses less digits than its factorization.

2421003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53724 (or 53714 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2421003840 is about 49203.6974220434. The cubic root of 2421003840 is about 1342.7603010203.

The spelling of 2421003840 in words is "two billion, four hundred twenty-one million, three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 53657 107314 160971 214628 268285 321942 429256 536570 643884 804855 858512 1073140 1287768 1609710 1717024 2146280 2521879 2575536 3219420 3434048 4292560 5043758 5151072 6438840 7565637 8585120 10087516 10302144 12609395 12877680 15131274 17170240 20175032 25218790 25755360 30262548 37828185 40350064 50437580 51510720 60525096 75656370 80700128 100875160 121050192 151312740 161400256 201750320 242100384 302625480 403500640 484200768 605250960 807001280 1210501920 2421003840