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2000042040 = 233595317489
BaseRepresentation
bin111011100110110…
…0011100000111000
312011101102122220010
41313031203200320
513044002321130
6530243501520
7100364035233
oct16715434070
95141378803
102000042040
11936a76207
124799878a0
1325b490539
1414d8aa41a
15ba8c00b0
hex77363838

2000042040 has 64 divisors (see below), whose sum is σ = 6006765600. Its totient is φ = 532754432.

The previous prime is 2000042029. The next prime is 2000042041. The reversal of 2000042040 is 402400002.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000042041) 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, 105616 + ... + 123104.

Almost surely, 22000042040 is an apocalyptic number.

2000042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000042040 is an abundant number, since it is smaller than the sum of its proper divisors (4006723560).

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

2000042040 is a wasteful number, since it uses less digits than its factorization.

2000042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18456 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2000042040 is about 44721.8295690147. The cubic root of 2000042040 is about 1259.9298776798.

Adding to 2000042040 its reverse (402400002), we get a palindrome (2402442042).

The spelling of 2000042040 in words is "two billion, forty-two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 953 1906 2859 3812 4765 5718 7624 9530 11436 14295 17489 19060 22872 28590 34978 38120 52467 57180 69956 87445 104934 114360 139912 174890 209868 262335 349780 419736 524670 699560 1049340 2098680 16667017 33334034 50001051 66668068 83335085 100002102 133336136 166670170 200004204 250005255 333340340 400008408 500010510 666680680 1000021020 2000042040