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1042102420 = 225431976151
BaseRepresentation
bin111110000111010…
…011100010010100
32200121220021202221
4332013103202110
54113234234140
6251223512124
734552503322
oct7607234224
92617807687
101042102420
1149526aa77
12250bb8644
13137b8b968
149c58ad12
156174b14a
hex3e1d3894

1042102420 has 48 divisors (see below), whose sum is σ = 2251041408. Its totient is φ = 405014400.

The previous prime is 1042102409. The next prime is 1042102421. The reversal of 1042102420 is 242012401.

1042102420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1042102394 and 1042102403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042102421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166345 + ... + 172495.

It is an arithmetic number, because the mean of its divisors is an integer number (46896696).

Almost surely, 21042102420 is an apocalyptic number.

1042102420 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 1042102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125520704).

1042102420 is an abundant number, since it is smaller than the sum of its proper divisors (1208938988).

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

1042102420 is a wasteful number, since it uses less digits than its factorization.

1042102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1042102420 is about 32281.6111741654. The cubic root of 1042102420 is about 1013.8416643456.

Adding to 1042102420 its reverse (242012401), we get a palindrome (1284114821).

The spelling of 1042102420 in words is "one billion, forty-two million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 197 215 394 430 788 860 985 1970 3940 6151 8471 12302 16942 24604 30755 33884 42355 61510 84710 123020 169420 264493 528986 1057972 1211747 1322465 2423494 2644930 4846988 5289860 6058735 12117470 24234940 52105121 104210242 208420484 260525605 521051210 1042102420