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1520114420 = 22511471131301
BaseRepresentation
bin101101010011011…
…0001101011110100
310220221100210222002
41122212301223310
511103122130140
6410501154432
752445521316
oct13246615364
93827323862
101520114420
11710079510
123650bba18
131b2c157b6
14105c5b7b6
158d6be415
hex5a9b1af4

1520114420 has 96 divisors (see below), whose sum is σ = 3590770176. Its totient is φ = 535808000.

The previous prime is 1520114389. The next prime is 1520114423. The reversal of 1520114420 is 244110251.

It is a happy number.

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 = 1520114392 and 1520114401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520114423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1167770 + ... + 1169070.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 21520114420 is an apocalyptic number.

1520114420 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 1520114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

1520114420 is an abundant number, since it is smaller than the sum of its proper divisors (2070655756).

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

1520114420 is a wasteful number, since it uses less digits than its factorization.

1520114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1520114420 is about 38988.6447571597. The cubic root of 1520114420 is about 1149.8082654512.

Adding to 1520114420 its reverse (244110251), we get a palindrome (1764224671).

The spelling of 1520114420 in words is "one billion, five hundred twenty million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 113 188 220 226 235 452 470 517 565 940 1034 1130 1243 1301 2068 2260 2486 2585 2602 4972 5170 5204 5311 6215 6505 10340 10622 12430 13010 14311 21244 24860 26020 26555 28622 53110 57244 58421 61147 71555 106220 116842 122294 143110 147013 233684 244588 286220 292105 294026 305735 584210 588052 611470 672617 735065 1168420 1222940 1345234 1470130 1617143 2690468 2940260 3234286 3363085 6468572 6726170 6909611 8085715 13452340 13819222 16171430 27638444 32342860 34548055 69096110 76005721 138192220 152011442 304022884 380028605 760057210 1520114420