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1082921364 = 2232722921169
BaseRepresentation
bin100000010001100…
…0001000110010100
32210110201002211200
41000203001012110
54204211440424
6255242432500
735556452100
oct10043010624
92713632750
101082921364
1150630a938
12262802730
13143481195
14a3b74900
15651108c9
hex408c1194

1082921364 has 108 divisors (see below), whose sum is σ = 3294263700. Its totient is φ = 298722816.

The previous prime is 1082921327. The next prime is 1082921401. The reversal of 1082921364 is 4631292801.

1082921364 is a `hidden beast` number, since 1 + 0 + 8 + 292 + 1 + 364 = 666.

It is an interprime number because it is at equal distance from previous prime (1082921327) and next prime (1082921401).

It can be written as a sum of positive squares in 2 ways, for example, as 866831364 + 216090000 = 29442^2 + 14700^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40572 + ... + 61740.

Almost surely, 21082921364 is an apocalyptic number.

1082921364 is a gapful number since it is divisible by the number (14) 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 1082921364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647131850).

1082921364 is an abundant number, since it is smaller than the sum of its proper divisors (2211342336).

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

1082921364 is a wasteful number, since it uses less digits than its factorization.

1082921364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1082921364 is about 32907.7705717054. The cubic root of 1082921364 is about 1026.9098207360.

The spelling of 1082921364 in words is "one billion, eighty-two million, nine hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 21169 25578 42338 51156 63507 84676 127014 148183 190521 254028 296366 381042 444549 592732 613901 762084 889098 1037281 1227802 1333647 1778196 1841703 2074562 2455604 2667294 3111843 3683406 4149124 4297307 5334588 5525109 6223686 7366812 8594614 9335529 11050218 12447372 12891921 17189228 18671058 22100436 25783842 30081149 37342116 38675763 51567684 60162298 77351526 90243447 120324596 154703052 180486894 270730341 360973788 541460682 1082921364