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1129286988 = 2233791071237
BaseRepresentation
bin100001101001111…
…1000110101001100
32220200221201112000
41003103320311030
54303044140423
6304020312300
736661531614
oct10323706514
92820851460
101129286988
1152a4a9035
12276242690
1314cc6626b
14a9da3a44
156921d843
hex434f8d4c

1129286988 has 96 divisors (see below), whose sum is σ = 2994969600. Its totient is φ = 367892928.

The previous prime is 1129286923. The next prime is 1129286989. The reversal of 1129286988 is 8896829211.

It is a super-2 number, since 2×11292869882 = 2550578202532224288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1129286989) 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, 912306 + ... + 913542.

It is an arithmetic number, because the mean of its divisors is an integer number (31197600).

Almost surely, 21129286988 is an apocalyptic number.

1129286988 is a gapful number since it is divisible by the number (18) 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 1129286988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497484800).

1129286988 is an abundant number, since it is smaller than the sum of its proper divisors (1865682612).

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

1129286988 is a wasteful number, since it uses less digits than its factorization.

1129286988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 1129286988 is about 33604.8655405731. The cubic root of 1129286988 is about 1041.3613176583.

The spelling of 1129286988 in words is "one billion, one hundred twenty-nine million, two hundred eighty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 107 108 158 214 237 316 321 428 474 642 711 948 963 1237 1284 1422 1926 2133 2474 2844 2889 3711 3852 4266 4948 5778 7422 8453 8532 11133 11556 14844 16906 22266 25359 33399 33812 44532 50718 66798 76077 97723 101436 132359 133596 152154 195446 228231 264718 293169 304308 390892 397077 456462 529436 586338 794154 879507 912924 1172676 1191231 1588308 1759014 2382462 2638521 3518028 3573693 4764924 5277042 7147386 10456361 10554084 14294772 20912722 31369083 41825444 62738166 94107249 125476332 188214498 282321747 376428996 564643494 1129286988