Search a number
-
+
1084126992 = 2431317102199
BaseRepresentation
bin100000010011110…
…0111011100010000
32210112222100122120
41000213213130100
54210014030432
6255324334240
735602633044
oct10047473420
92715870576
101084126992
11506a63723
122630a4380
131437b3b80
14a3daa024
156529cc2c
hex409e7710

1084126992 has 80 divisors (see below), whose sum is σ = 3193545600. Its totient is φ = 313952256.

The previous prime is 1084126987. The next prime is 1084126997. The reversal of 1084126992 is 2996214801.

It is an interprime number because it is at equal distance from previous prime (1084126987) and next prime (1084126997).

It is not an unprimeable number, because it can be changed into a prime (1084126997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40492 + ... + 61707.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 21084126992 is an apocalyptic number.

1084126992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1084126992 is an abundant number, since it is smaller than the sum of its proper divisors (2109418608).

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

1084126992 is a wasteful number, since it uses less digits than its factorization.

1084126992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102240 (or 102234 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1084126992 is about 32926.0837634845. The cubic root of 1084126992 is about 1027.2907693151.

The spelling of 1084126992 in words is "one billion, eighty-four million, one hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 102199 204398 306597 408796 613194 817592 1226388 1328587 1635184 1737383 2452776 2657174 3474766 3985761 4905552 5212149 5314348 6949532 7971522 10424298 10628696 13899064 15943044 20848596 21257392 22585979 27798128 31886088 41697192 45171958 63772176 67757937 83394384 90343916 135515874 180687832 271031748 361375664 542063496 1084126992