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310000020 = 223511835659
BaseRepresentation
bin10010011110100…
…011100110010100
3210121022122002020
4102132203212110
51113330000040
650432213140
710452646101
oct2236434624
9717278066
10310000020
11149a94670
128799a1b0
134c2bc685
142d257aa8
151c336cd0
hex127a3994

310000020 has 96 divisors (see below), whose sum is σ = 958487040. Its totient is φ = 74232960.

The previous prime is 309999997. The next prime is 310000037. The reversal of 310000020 is 20000013.

It is a super-2 number, since 2×3100000202 = 192200024800000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 309999963 and 310000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51951 + ... + 57609.

It is an arithmetic number, because the mean of its divisors is an integer number (9984240).

Almost surely, 2310000020 is an apocalyptic number.

310000020 is a gapful number since it is divisible by the number (30) 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 310000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479243520).

310000020 is an abundant number, since it is smaller than the sum of its proper divisors (648487020).

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

310000020 is a wasteful number, since it uses less digits than its factorization.

310000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 310000020 is about 17606.8174296208. The cubic root of 310000020 is about 676.7899597653.

Adding to 310000020 its reverse (20000013), we get a palindrome (330000033).

The spelling of 310000020 in words is "three hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2490 2739 3652 4565 4980 5478 5659 9130 10956 11318 13695 16977 18260 22636 27390 28295 33954 54780 56590 62249 67908 84885 113180 124498 169770 186747 248996 311245 339540 373494 469697 622490 746988 933735 939394 1244980 1409091 1867470 1878788 2348485 2818182 3734940 4696970 5166667 5636364 7045455 9393940 10333334 14090910 15500001 20666668 25833335 28181820 31000002 51666670 62000004 77500005 103333340 155000010 310000020