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2421430040 = 2351393971097
BaseRepresentation
bin1001000001010100…
…0001011100011000
320020202100101120002
42100111001130120
514424341230130
61040135352132
7114001546541
oct22025013430
96222311502
102421430040
11103291a257
12576b22648
132c787cc53
1418d83b4c8
15e28aab45
hex90541718

2421430040 has 64 divisors (see below), whose sum is σ = 5506250400. Its totient is φ = 958307328.

The previous prime is 2421430019. The next prime is 2421430043. The reversal of 2421430040 is 400341242.

It is a super-2 number, since 2×24214300402 = 11726646877228803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2421429994 and 2421430021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421430043) by changing a digit.

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, 2206772 + ... + 2207868.

Almost surely, 22421430040 is an apocalyptic number.

2421430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421430040 is an abundant number, since it is smaller than the sum of its proper divisors (3084820360).

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

2421430040 is a wasteful number, since it uses less digits than its factorization.

2421430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2421430040 is about 49208.0282067876. The cubic root of 2421430040 is about 1342.8390907703.

Adding to 2421430040 its reverse (400341242), we get a palindrome (2821771282).

The spelling of 2421430040 in words is "two billion, four hundred twenty-one million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 397 556 695 794 1097 1112 1390 1588 1985 2194 2780 3176 3970 4388 5485 5560 7940 8776 10970 15880 21940 43880 55183 110366 152483 220732 275915 304966 435509 441464 551830 609932 762415 871018 1103660 1219864 1524830 1742036 2177545 2207320 3049660 3484072 4355090 6099320 8710180 17420360 60535751 121071502 242143004 302678755 484286008 605357510 1210715020 2421430040