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1129081976 = 23113107991
BaseRepresentation
bin100001101001100…
…0110110001111000
32220200120022021222
41003103012301320
54303021110401
6304012051212
736660016121
oct10323066170
92820508258
101129081976
1152a379000
12276163b08
1314cbc3b59
14a9d4d048
15691ccc1b
hex434c6c78

1129081976 has 64 divisors (see below), whose sum is σ = 2352706560. Its totient is φ = 507909600.

The previous prime is 1129081939. The next prime is 1129081991. The reversal of 1129081976 is 6791809211.

It is a super-2 number, since 2×11290819762 = 2549652217056129152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138841 + ... + 1139831.

It is an arithmetic number, because the mean of its divisors is an integer number (36761040).

Almost surely, 21129081976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129081976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176353280).

1129081976 is an abundant number, since it is smaller than the sum of its proper divisors (1223624584).

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

1129081976 is a wasteful number, since it uses less digits than its factorization.

1129081976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 44.

The square root of 1129081976 is about 33601.8150700226. The cubic root of 1129081976 is about 1041.2982972188.

The spelling of 1129081976 in words is "one billion, one hundred twenty-nine million, eighty-one thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 107 121 214 242 428 484 856 968 991 1177 1331 1982 2354 2662 3964 4708 5324 7928 9416 10648 10901 12947 21802 25894 43604 51788 87208 103576 106037 119911 142417 212074 239822 284834 424148 479644 569668 848296 959288 1139336 1166407 1319021 2332814 2638042 4665628 5276084 9331256 10552168 12830477 25660954 51321908 102643816 141135247 282270494 564540988 1129081976