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1003420020 = 2235193723789
BaseRepresentation
bin111011110011101…
…111100101110100
32120221010000111110
4323303233211310
54023333420040
6243322435020
733602633541
oct7363574564
92527100443
101003420020
1147544a349
12240062a70
1312cb66a75
149739bbc8
155d159980
hex3bcef974

1003420020 has 96 divisors (see below), whose sum is σ = 3037507200. Its totient is φ = 246633984.

The previous prime is 1003420003. The next prime is 1003420027. The reversal of 1003420020 is 200243001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1003419978 and 1003420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003420027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30286 + ... + 54074.

It is an arithmetic number, because the mean of its divisors is an integer number (31640700).

Almost surely, 21003420020 is an apocalyptic number.

1003420020 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 1003420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518753600).

1003420020 is an abundant number, since it is smaller than the sum of its proper divisors (2034087180).

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

1003420020 is a wasteful number, since it uses less digits than its factorization.

1003420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23857 (or 23855 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1003420020 is about 31676.8057101722. The cubic root of 1003420020 is about 1001.1387095151.

Adding to 1003420020 its reverse (200243001), we get a palindrome (1203663021).

The spelling of 1003420020 in words is "one billion, three million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 23789 42180 47578 71367 95156 118945 142734 237890 285468 356835 451991 475780 713670 880193 903982 1355973 1427340 1760386 1807964 2259955 2640579 2711946 3520772 4400965 4519910 5281158 5423892 6779865 8801930 9039820 10562316 13202895 13559730 16723667 17603860 26405790 27119460 33447334 50171001 52811580 66894668 83618335 100342002 167236670 200684004 250855005 334473340 501710010 1003420020