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1114165976 = 2371161149199
BaseRepresentation
bin100001001101000…
…1101001011011000
32212122111111101112
41002122031023120
54240211302401
6302320235452
736416153210
oct10232151330
92778444345
101114165976
11521a10430
1227116bb88
13149aa0811
14a7d89240
1567c333bb
hex4268d2d8

1114165976 has 128 divisors (see below), whose sum is σ = 2678400000. Its totient is φ = 421977600.

The previous prime is 1114165967. The next prime is 1114165979. The reversal of 1114165976 is 6795614111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114165979) 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 31 ways as a sum of consecutive naturals, for example, 5598725 + ... + 5598923.

It is an arithmetic number, because the mean of its divisors is an integer number (20925000).

Almost surely, 21114165976 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 1114165976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200000).

1114165976 is an abundant number, since it is smaller than the sum of its proper divisors (1564234024).

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

1114165976 is a wasteful number, since it uses less digits than its factorization.

1114165976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its digits is 45360, while the sum is 41.

The square root of 1114165976 is about 33379.1248537166. The cubic root of 1114165976 is about 1036.6925176066.

The spelling of 1114165976 in words is "one billion, one hundred fourteen million, one hundred sixty-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 122 149 154 199 244 298 308 398 427 488 596 616 671 796 854 1043 1192 1342 1393 1592 1639 1708 2086 2189 2684 2786 3278 3416 4172 4378 4697 5368 5572 6556 8344 8756 9089 9394 11144 11473 12139 13112 15323 17512 18178 18788 22946 24278 29651 30646 36356 37576 45892 48556 59302 61292 63623 72712 84973 91784 97112 99979 118604 122584 127246 133529 169946 199958 207557 237208 254492 267058 326161 339892 399916 415114 508984 534116 652322 679784 699853 799832 830228 934703 1068232 1304644 1399706 1660456 1808711 1869406 2283127 2609288 2799412 3617422 3738812 4566254 5598824 7234844 7477624 9132508 12660977 14469688 18265016 19895821 25321954 39791642 50643908 79583284 101287816 139270747 159166568 278541494 557082988 1114165976