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1116046890 = 233571931079
BaseRepresentation
bin100001010000101…
…1000011000101010
32212210001001112000
41002201120120222
54241202000030
6302424431430
736441146010
oct10241303052
92783031460
101116046890
11522a85602
12271918576
1314a2ab99a
14a83188b0
1567ea5860
hex4285862a

1116046890 has 128 divisors (see below), whose sum is σ = 3580416000. Its totient is φ = 241662528.

The previous prime is 1116046879. The next prime is 1116046901. The reversal of 1116046890 is 986406111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1116046879) and next prime (1116046901).

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 63 ways as a sum of consecutive naturals, for example, 20371 + ... + 51449.

It is an arithmetic number, because the mean of its divisors is an integer number (27972000).

Almost surely, 21116046890 is an apocalyptic number.

1116046890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116046890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790208000).

1116046890 is an abundant number, since it is smaller than the sum of its proper divisors (2464369110).

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

1116046890 is a wasteful number, since it uses less digits than its factorization.

1116046890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31121 (or 31115 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1116046890 is about 33407.2879773261. The cubic root of 1116046890 is about 1037.2755645559.

The spelling of 1116046890 in words is "one billion, one hundred sixteen million, forty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11970 17955 31079 35910 62158 93237 155395 186474 217553 279711 310790 435106 466185 559422 590501 652659 839133 932370 1087765 1181002 1305318 1398555 1678266 1771503 1957977 2175530 2797110 2952505 3263295 3543006 3915954 4133507 4195665 5314509 5873931 5905010 6526590 8267014 8391330 8857515 9789885 10629018 11747862 12400521 15943527 17715030 19579770 20667535 24801042 26572545 29369655 31887054 37201563 41335070 53145090 58739310 62002605 74403126 79717635 111604689 124005210 159435270 186007815 223209378 372015630 558023445 1116046890