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2000000040 = 2335197391187
BaseRepresentation
bin111011100110101…
…1001010000101000
312011101100112021120
41313031121100220
513044000000130
6530242535240
7100363501623
oct16715312050
95141315246
102000000040
11936a476a5
12479967520
1325b47739c
1414d898dba
15ba8b2910
hex77359428

2000000040 has 128 divisors (see below), whose sum is σ = 6329664000. Its totient is φ = 504154368.

The previous prime is 2000000033. The next prime is 2000000063. The reversal of 2000000040 is 400000002.

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 = 1999999965 and 2000000028.

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, 1684327 + ... + 1685513.

It is an arithmetic number, because the mean of its divisors is an integer number (49450500).

Almost surely, 22000000040 is an apocalyptic number.

2000000040 is a gapful number since it is divisible by the number (20) 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 2000000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164832000).

2000000040 is an abundant number, since it is smaller than the sum of its proper divisors (4329663960).

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

2000000040 is a wasteful number, since it uses less digits than its factorization.

2000000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000000040 is about 44721.3599972094. The cubic root of 2000000040 is about 1259.9210582943.

Adding to 2000000040 its reverse (400000002), we get a palindrome (2400000042).

The spelling of 2000000040 in words is "two billion, forty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 739 760 1140 1187 1478 2217 2280 2374 2956 3561 3695 4434 4748 5912 5935 7122 7390 8868 9496 11085 11870 14041 14244 14780 17736 17805 22170 22553 23740 28082 28488 29560 35610 42123 44340 45106 47480 56164 67659 70205 71220 84246 88680 90212 112328 112765 135318 140410 142440 168492 180424 210615 225530 270636 280820 336984 338295 421230 451060 541272 561640 676590 842460 877193 902120 1353180 1684920 1754386 2631579 2706360 3508772 4385965 5263158 7017544 8771930 10526316 13157895 16666667 17543860 21052632 26315790 33333334 35087720 50000001 52631580 66666668 83333335 100000002 105263160 133333336 166666670 200000004 250000005 333333340 400000008 500000010 666666680 1000000020 2000000040