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1291390040 = 2351710118803
BaseRepresentation
bin100110011111001…
…0000110001011000
310022222222102002202
41030332100301120
510121043440130
6332050545332
744000430353
oct11476206130
93288872082
101291390040
11602a574a6
12300598248
13177712025
14c371d29a
157858e145
hex4cf90c58

1291390040 has 64 divisors (see below), whose sum is σ = 3107172960. Its totient is φ = 481331200.

The previous prime is 1291390019. The next prime is 1291390049. The reversal of 1291390040 is 400931921.

It is a happy number.

It is a super-2 number, since 2×12913900402 = 3335376470822403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1291389985 and 1291390012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291390049) 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, 59279 + ... + 78081.

Almost surely, 21291390040 is an apocalyptic number.

1291390040 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 1291390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553586480).

1291390040 is an abundant number, since it is smaller than the sum of its proper divisors (1815782920).

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

1291390040 is a wasteful number, since it uses less digits than its factorization.

1291390040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18932 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1291390040 is about 35935.9157389929. The cubic root of 1291390040 is about 1088.9780956271.

The spelling of 1291390040 in words is "one billion, two hundred ninety-one million, three hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 680 808 1010 1717 2020 3434 4040 6868 8585 13736 17170 18803 34340 37606 68680 75212 94015 150424 188030 319651 376060 639302 752120 1278604 1598255 1899103 2557208 3196510 3798206 6393020 7596412 9495515 12786040 15192824 18991030 32284751 37982060 64569502 75964120 129139004 161423755 258278008 322847510 645695020 1291390040