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451107020 = 225713713491
BaseRepresentation
bin11010111000110…
…101100011001100
31011102211121111102
4122320311203030
51410440411040
6112432442232
714115226550
oct3270654314
91142747442
10451107020
11211702421
121070a9378
13725c6840
1443ca9860
152990b515
hex1ae358cc

451107020 has 96 divisors (see below), whose sum is σ = 1182698496. Its totient is φ = 140716800.

The previous prime is 451107011. The next prime is 451107037. The reversal of 451107020 is 20701154.

It is a super-3 number, since 3×4511070203 (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 451106983 and 451107001.

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, 127475 + ... + 130965.

It is an arithmetic number, because the mean of its divisors is an integer number (12319776).

Almost surely, 2451107020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451107020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591349248).

451107020 is an abundant number, since it is smaller than the sum of its proper divisors (731591476).

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

451107020 is a wasteful number, since it uses less digits than its factorization.

451107020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3589 counting only the distinct ones).

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

The square root of 451107020 is about 21239.2801196274. The cubic root of 451107020 is about 766.9373028988.

Adding to 451107020 its reverse (20701154), we get a palindrome (471808174).

The spelling of 451107020 in words is "four hundred fifty-one million, one hundred seven thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 71 91 130 140 142 182 260 284 355 364 455 497 710 910 923 994 1420 1820 1846 1988 2485 3491 3692 4615 4970 6461 6982 9230 9940 12922 13964 17455 18460 24437 25844 32305 34910 45383 48874 64610 69820 90766 97748 122185 129220 181532 226915 244370 247861 317681 453830 488740 495722 635362 907660 991444 1239305 1270724 1588405 1735027 2478610 3176810 3222193 3470054 4957220 6353620 6444386 6940108 8675135 12888772 16110965 17350270 22555351 32221930 34700540 45110702 64443860 90221404 112776755 225553510 451107020