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1126690992 = 243372291627
BaseRepresentation
bin100001100100111…
…1111000010110000
32220112001211111000
41003021333002300
54301413102432
6303444522000
736630500250
oct10311770260
92815054430
101126690992
11528a95689
122753b0300
1314c56777b
14a98c9960
1568da957c
hex4327f0b0

1126690992 has 160 divisors (see below), whose sum is σ = 3714444800. Its totient is φ = 320308992.

The previous prime is 1126690933. The next prime is 1126690993. The reversal of 1126690992 is 2990966211.

It is not an unprimeable number, because it can be changed into a prime (1126690993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691683 + ... + 693309.

It is an arithmetic number, because the mean of its divisors is an integer number (23215280).

Almost surely, 21126690992 is an apocalyptic number.

1126690992 is a gapful number since it is divisible by the number (12) 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 1126690992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857222400).

1126690992 is an abundant number, since it is smaller than the sum of its proper divisors (2587753808).

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

1126690992 is a wasteful number, since it uses less digits than its factorization.

1126690992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1126690992 is about 33566.2180175247. The cubic root of 1126690992 is about 1040.5627477085.

The spelling of 1126690992 in words is "one billion, one hundred twenty-six million, six hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 229 252 336 378 432 458 504 687 756 916 1008 1374 1512 1603 1627 1832 2061 2748 3024 3206 3254 3664 4122 4809 4881 5496 6183 6412 6508 8244 9618 9762 10992 11389 12366 12824 13016 14427 14643 16488 19236 19524 22778 24732 25648 26032 28854 29286 32976 34167 38472 39048 43281 43929 45556 49464 57708 58572 68334 76944 78096 86562 87858 91112 98928 102501 115416 117144 136668 173124 175716 182224 205002 230832 234288 273336 307503 346248 351432 372583 410004 546672 615006 692496 702864 745166 820008 1117749 1230012 1490332 1640016 2235498 2460024 2608081 2980664 3353247 4470996 4920048 5216162 5961328 6706494 7824243 8941992 10059741 10432324 13412988 15648486 17883984 20119482 20864648 23472729 26825976 31296972 40238964 41729296 46945458 53651952 62593944 70418187 80477928 93890916 125187888 140836374 160955856 187781832 281672748 375563664 563345496 1126690992