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1002420020 = 225722931267
BaseRepresentation
bin111011101111111…
…011011100110100
32120212020012202102
4323233323130310
54023104420040
6243245201232
733561300230
oct7357733464
92525205672
101002420020
11474926aa8
1223b860218
1312c8a6854
14971bb5c0
155d00d515
hex3bbfb734

1002420020 has 48 divisors (see below), whose sum is σ = 2416391040. Its totient is φ = 342175104.

The previous prime is 1002420007. The next prime is 1002420047. The reversal of 1002420020 is 200242001.

It is a junction number, because it is equal to n+sod(n) for n = 1002419983 and 1002420010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16427 + ... + 47693.

It is an arithmetic number, because the mean of its divisors is an integer number (50341480).

Almost surely, 21002420020 is an apocalyptic number.

1002420020 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 1002420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208195520).

1002420020 is an abundant number, since it is smaller than the sum of its proper divisors (1413971020).

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

1002420020 is a wasteful number, since it uses less digits than its factorization.

1002420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31512 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1002420020 is about 31661.0173557326. The cubic root of 1002420020 is about 1000.8060234849.

Adding to 1002420020 its reverse (200242001), we get a palindrome (1202662021).

The spelling of 1002420020 in words is "one billion, two million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2290 3206 4580 6412 8015 16030 31267 32060 62534 125068 156335 218869 312670 437738 625340 875476 1094345 2188690 4377380 7160143 14320286 28640572 35800715 50121001 71601430 100242002 143202860 200484004 250605005 501210010 1002420020