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745012100 = 225271576779
BaseRepresentation
bin101100011001111…
…111101110000100
31220220212112110202
4230121333232010
53011210341400
6201532110032
724314332640
oct5431775604
91826775422
10745012100
113525a3688
12189605318
13bb46c381
1470d33c20
15456144d5
hex2c67fb84

745012100 has 72 divisors (see below), whose sum is σ = 1859672640. Its totient is φ = 253768320.

The previous prime is 745012091. The next prime is 745012127. The reversal of 745012100 is 1210547.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106511 + ... + 113289.

Almost surely, 2745012100 is an apocalyptic number.

745012100 is a gapful number since it is divisible by the number (70) 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 745012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929836320).

745012100 is an abundant number, since it is smaller than the sum of its proper divisors (1114660540).

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

745012100 is a wasteful number, since it uses less digits than its factorization.

745012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 745012100 is about 27294.9097818623. The cubic root of 745012100 is about 906.5416779718.

Adding to 745012100 its reverse (1210547), we get a palindrome (746222647).

The spelling of 745012100 in words is "seven hundred forty-five million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 157 175 314 350 628 700 785 1099 1570 2198 3140 3925 4396 5495 6779 7850 10990 13558 15700 21980 27116 27475 33895 47453 54950 67790 94906 109900 135580 169475 189812 237265 338950 474530 677900 949060 1064303 1186325 2128606 2372650 4257212 4745300 5321515 7450121 10643030 14900242 21286060 26607575 29800484 37250605 53215150 74501210 106430300 149002420 186253025 372506050 745012100