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1129201146 = 23223532971
BaseRepresentation
bin100001101001110…
…0011110111111010
32220200210100202200
41003103203313322
54303033414041
6304014411030
736661023423
oct10323436772
92820710680
101129201146
1152a44a597
12276200a76
1314cc36178
14a9d8064a
15692031b6
hex434e3dfa

1129201146 has 72 divisors (see below), whose sum is σ = 2604734496. Its totient is φ = 352878240.

The previous prime is 1129201127. The next prime is 1129201189. The reversal of 1129201146 is 6411029211.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1162441 + ... + 1163411.

It is an arithmetic number, because the mean of its divisors is an integer number (36176868).

Almost surely, 21129201146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129201146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302367248).

1129201146 is an abundant number, since it is smaller than the sum of its proper divisors (1475533350).

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

1129201146 is a wasteful number, since it uses less digits than its factorization.

1129201146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1129201146 is about 33603.5882905383. The cubic root of 1129201146 is about 1041.3349308602.

The spelling of 1129201146 in words is "one billion, one hundred twenty-nine million, two hundred one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 971 1219 1942 2438 2809 2913 3657 5618 5826 7314 8427 8739 10971 16854 17478 21942 22333 25281 44666 50562 51463 64607 66999 102926 129214 133998 154389 193821 200997 308778 387642 401994 463167 581463 926334 1162926 1183649 2367298 2727539 3550947 5455078 7101894 8182617 10652841 16365234 21305682 24547851 49095702 62733397 125466794 188200191 376400382 564600573 1129201146