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1001453420 = 2251173127491
BaseRepresentation
bin111011101100001…
…111011101101100
32120210102002211102
4323230033131230
54022333002140
6243212342232
733550133162
oct7354173554
92523362742
101001453420
11474326860
1223b474978
1312c6288b6
1497009232
155cdbbe15
hex3bb0f76c

1001453420 has 96 divisors (see below), whose sum is σ = 2348752896. Its totient is φ = 355622400.

The previous prime is 1001453399. The next prime is 1001453429. The reversal of 1001453420 is 243541001.

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 = 1001453392 and 1001453401.

It is not an unprimeable number, because it can be changed into a prime (1001453429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2039375 + ... + 2039865.

It is an arithmetic number, because the mean of its divisors is an integer number (24466176).

Almost surely, 21001453420 is an apocalyptic number.

1001453420 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 1001453420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174376448).

1001453420 is an abundant number, since it is smaller than the sum of its proper divisors (1347299476).

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

1001453420 is a wasteful number, since it uses less digits than its factorization.

1001453420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1001453420 is about 31645.7488456191. The cubic root of 1001453420 is about 1000.4842388083.

Adding to 1001453420 its reverse (243541001), we get a palindrome (1244994421).

The spelling of 1001453420 in words is "one billion, one million, four hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 127 146 220 254 292 365 491 508 635 730 803 982 1270 1397 1460 1606 1964 2455 2540 2794 3212 4015 4910 5401 5588 6985 8030 9271 9820 10802 13970 16060 18542 21604 27005 27940 35843 37084 46355 54010 62357 71686 92710 101981 108020 124714 143372 179215 185420 203962 249428 311785 358430 394273 407924 509905 623570 685927 716860 788546 1019810 1247140 1371854 1577092 1971365 2039620 2743708 3429635 3942730 4552061 6859270 7885460 9104122 13718540 18208244 22760305 45520610 50072671 91041220 100145342 200290684 250363355 500726710 1001453420