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1828400940 = 2232519352631
BaseRepresentation
bin110110011111011…
…0010111100101100
311201102110101120100
41230332302330230
512221032312230
6501232551100
763211102662
oct15476627454
94642411510
101828400940
118590a2763
124303b2490
13231a55262
14134b8ac32
15aa7b8660
hex6cfb2f2c

1828400940 has 72 divisors (see below), whose sum is σ = 5574991968. Its totient is φ = 485038080.

The previous prime is 1828400933. The next prime is 1828400947. The reversal of 1828400940 is 490048281.

It is an interprime number because it is at equal distance from previous prime (1828400933) and next prime (1828400947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1828400895 and 1828400904.

It is not an unprimeable number, because it can be changed into a prime (1828400947) 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 23 ways as a sum of consecutive naturals, for example, 8425 + ... + 61055.

It is an arithmetic number, because the mean of its divisors is an integer number (77430444).

Almost surely, 21828400940 is an apocalyptic number.

1828400940 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 1828400940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787495984).

1828400940 is an abundant number, since it is smaller than the sum of its proper divisors (3746591028).

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

1828400940 is a wasteful number, since it uses less digits than its factorization.

1828400940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52839 (or 52834 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1828400940 is about 42759.8051913242. The cubic root of 1828400940 is about 1222.8048294510.

The spelling of 1828400940 in words is "one billion, eight hundred twenty-eight million, four hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 17370 34740 52631 105262 157893 210524 263155 315786 473679 526310 631572 789465 947358 1052620 1578930 1894716 2368395 3157860 4736790 9473580 10157783 20315566 30473349 40631132 50788915 60946698 91420047 101577830 121893396 152366745 182840094 203155660 304733490 365680188 457100235 609466980 914200470 1828400940