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1382190420 = 22351317310243
BaseRepresentation
bin101001001100010…
…1000110101010100
310120022211112210210
41102120220311110
510312320043140
6345053045420
746152265452
oct12230506524
93508745723
101382190420
1164a235136
12326a86870
13190484370
14d17d79d2
1581527d80
hex52628d54

1382190420 has 96 divisors (see below), whose sum is σ = 4192336512. Its totient is φ = 338231808.

The previous prime is 1382190379. The next prime is 1382190427. The reversal of 1382190420 is 240912831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382190427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129819 + ... + 140061.

It is an arithmetic number, because the mean of its divisors is an integer number (43670172).

Almost surely, 21382190420 is an apocalyptic number.

1382190420 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 1382190420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096168256).

1382190420 is an abundant number, since it is smaller than the sum of its proper divisors (2810146092).

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

1382190420 is a wasteful number, since it uses less digits than its factorization.

1382190420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1382190420 is about 37177.8216145056. The cubic root of 1382190420 is about 1113.9250218407.

The spelling of 1382190420 in words is "one billion, three hundred eighty-two million, one hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 173 195 260 346 390 519 692 780 865 1038 1730 2076 2249 2595 3460 4498 5190 6747 8996 10243 10380 11245 13494 20486 22490 26988 30729 33735 40972 44980 51215 61458 67470 102430 122916 133159 134940 153645 204860 266318 307290 399477 532636 614580 665795 798954 1331590 1597908 1772039 1997385 2663180 3544078 3994770 5316117 7088156 7989540 8860195 10632234 17720390 21264468 23036507 26580585 35440780 46073014 53161170 69109521 92146028 106322340 115182535 138219042 230365070 276438084 345547605 460730140 691095210 1382190420