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1381900828 = 2271121723993
BaseRepresentation
bin101001001011110…
…0010001000011100
310120022021211120011
41102113202020130
510312231311303
6345042533004
746146651250
oct12227421034
93508254504
101381900828
1164a057600
12326967164
131903b25c9
14d1760260
15814bc16d
hex525e221c

1381900828 has 72 divisors (see below), whose sum is σ = 3216731616. Its totient is φ = 506711040.

The previous prime is 1381900783. The next prime is 1381900841. The reversal of 1381900828 is 8280091831.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45600 + ... + 69592.

It is an arithmetic number, because the mean of its divisors is an integer number (44676828).

Almost surely, 21381900828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381900828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608365808).

1381900828 is an abundant number, since it is smaller than the sum of its proper divisors (1834830788).

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

1381900828 is a wasteful number, since it uses less digits than its factorization.

1381900828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24043 (or 24030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 1381900828 is about 37173.9267229062. The cubic root of 1381900828 is about 1113.8472211021.

It can be divided in two parts, 1381 and 900828, that added together give a palindrome (902209).

The spelling of 1381900828 in words is "one billion, three hundred eighty-one million, nine hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 121 154 187 238 242 308 374 476 484 748 847 1309 1694 2057 2618 3388 4114 5236 8228 14399 23993 28798 47986 57596 95972 167951 263923 335902 407881 527846 671804 815762 1055692 1631524 1847461 2855167 2903153 3694922 4486691 5710334 5806306 7389844 8973382 11420668 11612612 17946764 20322071 31406837 40644142 49353601 62813674 81288284 98707202 125627348 197414404 345475207 690950414 1381900828