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1000030420 = 2251913120089
BaseRepresentation
bin111011100110110…
…100000011010100
32120200201210211201
4323212310003110
54022001433140
6243122042244
733532055404
oct7346640324
92520653751
101000030420
11473544724
1223aaa9384
1312c24ac9c
1496b58804
155cbda49a
hex3b9b40d4

1000030420 has 48 divisors (see below), whose sum is σ = 2227579200. Its totient is φ = 376047360.

The previous prime is 1000030393. The next prime is 1000030429. The reversal of 1000030420 is 240300001.

1000030420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000030397 and 1000030406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000030429) 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, 39736 + ... + 59824.

It is an arithmetic number, because the mean of its divisors is an integer number (46407900).

Almost surely, 21000030420 is an apocalyptic number.

1000030420 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 1000030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113789600).

1000030420 is an abundant number, since it is smaller than the sum of its proper divisors (1227548780).

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

1000030420 is a wasteful number, since it uses less digits than its factorization.

1000030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20248 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1000030420 is about 31623.2575804581. The cubic root of 1000030420 is about 1000.0101398972.

Adding to 1000030420 its reverse (240300001), we get a palindrome (1240330421).

The spelling of 1000030420 in words is "one billion, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1310 2489 2620 4978 9956 12445 20089 24890 40178 49780 80356 100445 200890 381691 401780 763382 1526764 1908455 2631659 3816910 5263318 7633820 10526636 13158295 26316590 50001521 52633180 100003042 200006084 250007605 500015210 1000030420