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1450303020 = 223251132631
BaseRepresentation
bin101011001110001…
…1101111000101100
310202002000000201200
41112130131320230
510432234144040
6355525005500
750640241455
oct12634357054
93662000650
101450303020
11684727141
12345853890
131a1611a8a
14da88812c
15874ce630
hex5671de2c

1450303020 has 108 divisors (see below), whose sum is σ = 4445562576. Its totient is φ = 382717440.

The previous prime is 1450302991. The next prime is 1450303051. The reversal of 1450303020 is 203030541.

It is a super-2 number, since 2×14503030202 = 4206757699642240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1450302984 and 1450303002.

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 35 ways as a sum of consecutive naturals, for example, 2298105 + ... + 2298735.

Almost surely, 21450303020 is an apocalyptic number.

1450303020 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 1450303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222781288).

1450303020 is an abundant number, since it is smaller than the sum of its proper divisors (2995259556).

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

1450303020 is a wasteful number, since it uses less digits than its factorization.

1450303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1450303020 is about 38082.8441689956. The cubic root of 1450303020 is about 1131.9300349654.

Adding to 1450303020 its reverse (203030541), we get a palindrome (1653333561).

The spelling of 1450303020 in words is "one billion, four hundred fifty million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 631 678 1017 1130 1262 1356 1695 1893 2034 2260 2524 3155 3390 3786 4068 5085 5679 6310 6780 7572 9465 10170 11358 12620 12769 18930 20340 22716 25538 28395 37860 38307 51076 56790 63845 71303 76614 113580 114921 127690 142606 153228 191535 213909 229842 255380 285212 356515 383070 427818 459684 574605 641727 713030 766140 855636 1069545 1149210 1283454 1426060 2139090 2298420 2566908 3208635 4278180 6417270 8057239 12834540 16114478 24171717 32228956 40286195 48343434 72515151 80572390 96686868 120858585 145030302 161144780 241717170 290060604 362575755 483434340 725151510 1450303020