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1300000020 = 2235112385639
BaseRepresentation
bin100110101111100…
…0110110100010100
310100121011211202220
41031133012310110
510130300000040
6332555302340
744133550344
oct11537066424
93317154686
101300000020
116078a8290
1230344a9b0
13179437ca7
14c4920d24
15791e02d0
hex4d7c6d14

1300000020 has 96 divisors (see below), whose sum is σ = 4143605760. Its totient is φ = 301445760.

The previous prime is 1300000003. The next prime is 1300000021. The reversal of 1300000020 is 200000031.

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 = 1299999954 and 1300000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300000021) 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, 27640 + ... + 57999.

It is an arithmetic number, because the mean of its divisors is an integer number (43162560).

Almost surely, 21300000020 is an apocalyptic number.

1300000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300000020 is an abundant number, since it is smaller than the sum of its proper divisors (2843605740).

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

1300000020 is a wasteful number, since it uses less digits than its factorization.

1300000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85685 (or 85683 counting only the distinct ones).

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

The square root of 1300000020 is about 36055.5130319900. The cubic root of 1300000020 is about 1091.3928886580.

Adding to 1300000020 its reverse (200000031), we get a palindrome (1500000051).

The spelling of 1300000020 in words is "one billion, three hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 85639 171278 256917 342556 428195 513834 856390 942029 1027668 1284585 1712780 1884058 1969697 2569170 2826087 3768116 3939394 4710145 5138340 5652174 5909091 7878788 9420290 9848485 11304348 11818182 14130435 18840580 19696970 21666667 23636364 28260870 29545455 39393940 43333334 56521740 59090910 65000001 86666668 108333335 118181820 130000002 216666670 260000004 325000005 433333340 650000010 1300000020