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1082436920 = 235173151349
BaseRepresentation
bin100000010000100…
…1010110100111000
32210102210111022022
41000201022310320
54204100440140
6255224214012
735552363525
oct10041126470
92712714268
101082436920
11506009974
1226260a308
13143341826
14a3a8a14c
15650670b5
hex4084ad38

1082436920 has 64 divisors (see below), whose sum is σ = 2661984000. Its totient is φ = 394352640.

The previous prime is 1082436917. The next prime is 1082436959. The reversal of 1082436920 is 296342801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595 + ... + 46754.

It is an arithmetic number, because the mean of its divisors is an integer number (41593500).

Almost surely, 21082436920 is an apocalyptic number.

1082436920 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 1082436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330992000).

1082436920 is an abundant number, since it is smaller than the sum of its proper divisors (1579547080).

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

1082436920 is a wasteful number, since it uses less digits than its factorization.

1082436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51408 (or 51404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1082436920 is about 32900.4091159973. The cubic root of 1082436920 is about 1026.7566688025.

The spelling of 1082436920 in words is "one billion, eighty-two million, four hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 21080 51349 102698 205396 256745 410792 513490 872933 1026980 1591819 1745866 2053960 3183638 3491732 4364665 6367276 6983464 7959095 8729330 12734552 15918190 17458660 27060923 31836380 34917320 54121846 63672760 108243692 135304615 216487384 270609230 541218460 1082436920