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1454213840 = 24547439881
BaseRepresentation
bin101011010101101…
…1000101011010000
310202100100201100212
41112223120223100
510434234320330
6400144503252
751015420332
oct12653305320
93670321325
101454213840
11686958422
1234701ab28
131a2380b81
14db1c5452
1587a03295
hex56ad8ad0

1454213840 has 80 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 567367680.

The previous prime is 1454213821. The next prime is 1454213851. The reversal of 1454213840 is 483124541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×14542138403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1454213797 and 1454213806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650200 + ... + 1651080.

It is an arithmetic number, because the mean of its divisors is an integer number (43309728).

Almost surely, 21454213840 is an apocalyptic number.

1454213840 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 1454213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1454213840 is an abundant number, since it is smaller than the sum of its proper divisors (2010564400).

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

1454213840 is a wasteful number, since it uses less digits than its factorization.

1454213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1454213840 is about 38134.1558186359. The cubic root of 1454213840 is about 1132.9465585233.

It can be divided in two parts, 14542 and 13840, that added together give a palindrome (28382).

The spelling of 1454213840 in words is "one billion, four hundred fifty-four million, two hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 439 470 752 878 881 940 1756 1762 1880 2195 3512 3524 3760 4390 4405 7024 7048 8780 8810 14096 17560 17620 20633 35120 35240 41266 41407 70480 82532 82814 103165 165064 165628 206330 207035 330128 331256 386759 412660 414070 662512 773518 825320 828140 1547036 1650640 1656280 1933795 3094072 3312560 3867590 6188144 7735180 15470360 18177673 30940720 36355346 72710692 90888365 145421384 181776730 290842768 363553460 727106920 1454213840