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1084869144 = 2332171946649
BaseRepresentation
bin100000010101001…
…1100101000011000
32210121101001200200
41000222130220120
54210211303034
6255352302200
735612143542
oct10052345030
92717331620
101084869144
11507420277
122633a1960
131439b3908
14a4120692
1565397a99
hex40a9ca18

1084869144 has 96 divisors (see below), whose sum is σ = 3274830000. Its totient is φ = 322430976.

The previous prime is 1084869139. The next prime is 1084869209. The reversal of 1084869144 is 4419684801.

It is a self number, because there is not a number n which added to its sum of digits gives 1084869144.

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 23 ways as a sum of consecutive naturals, for example, 69 + ... + 46580.

Almost surely, 21084869144 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 1084869144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637415000).

1084869144 is an abundant number, since it is smaller than the sum of its proper divisors (2189960856).

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

1084869144 is a wasteful number, since it uses less digits than its factorization.

1084869144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46697 (or 46690 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1084869144 is about 32937.3518061182. The cubic root of 1084869144 is about 1027.5251305413.

The spelling of 1084869144 in words is "one billion, eighty-four million, eight hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 46649 93298 139947 186596 279894 373192 419841 559788 793033 839682 886331 1119576 1586066 1679364 1772662 2379099 2658993 3172132 3358728 3545324 4758198 5317986 6344264 7090648 7137297 7976979 9516396 10635972 14274594 15067627 15953958 19032792 21271944 28549188 30135254 31907916 45202881 57098376 60270508 63815832 90405762 120541016 135608643 180811524 271217286 361623048 542434572 1084869144