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1417052840 = 235731116273
BaseRepresentation
bin101010001110110…
…1000001010101000
310122202102202001112
41110131220022220
510400231142330
6352340205452
750054515250
oct12435501250
93582382045
101417052840
11667986855
12336699888
1319776c608
14d62b0960
1584612795
hex547682a8

1417052840 has 64 divisors (see below), whose sum is σ = 3655791360. Its totient is φ = 484254720.

The previous prime is 1417052809. The next prime is 1417052849. The reversal of 1417052840 is 482507141.

It is a happy number.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1417052797 and 1417052806.

It is not an unprimeable number, because it can be changed into a prime (1417052849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78944 + ... + 95216.

It is an arithmetic number, because the mean of its divisors is an integer number (57121740).

Almost surely, 21417052840 is an apocalyptic number.

1417052840 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 1417052840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827895680).

1417052840 is an abundant number, since it is smaller than the sum of its proper divisors (2238738520).

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

1417052840 is a wasteful number, since it uses less digits than its factorization.

1417052840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16602 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 1417052840 is about 37643.7622986864. The cubic root of 1417052840 is about 1123.2127248777.

Adding to 1417052840 its reverse (482507141), we get a palindrome (1899559981).

The spelling of 1417052840 in words is "one billion, four hundred seventeen million, fifty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 622 1244 1555 2177 2488 3110 4354 6220 8708 10885 12440 16273 17416 21770 32546 43540 65092 81365 87080 113911 130184 162730 227822 325460 455644 569555 650920 911288 1139110 2278220 4556440 5060903 10121806 20243612 25304515 35426321 40487224 50609030 70852642 101218060 141705284 177131605 202436120 283410568 354263210 708526420 1417052840