Search a number
-
+
1140670146 = 237112389577
BaseRepresentation
bin100001111111101…
…0011111011000010
32221111101001021110
41003333103323002
54314002421041
6305104304150
740160351640
oct10377237302
92844331243
101140670146
11535973400
1227a012056
13152420565
14ab6c8190
156a21b516
hex43fd3ec2

1140670146 has 96 divisors (see below), whose sum is σ = 2878162560. Its totient is φ = 295004160.

The previous prime is 1140670129. The next prime is 1140670147. The reversal of 1140670146 is 6410760411.

It is a super-2 number, since 2×11406701462 = 2602256763951322632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140670147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1976610 + ... + 1977186.

It is an arithmetic number, because the mean of its divisors is an integer number (29980860).

Almost surely, 21140670146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140670146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439081280).

1140670146 is an abundant number, since it is smaller than the sum of its proper divisors (1737492414).

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

1140670146 is a wasteful number, since it uses less digits than its factorization.

1140670146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1140670146 is about 33773.8085800225. The cubic root of 1140670146 is about 1044.8485837863.

The spelling of 1140670146 in words is "one billion, one hundred forty million, six hundred seventy thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 389 462 577 726 778 847 1154 1167 1694 1731 2334 2541 2723 3462 4039 4279 5082 5446 6347 8078 8169 8558 12117 12694 12837 16338 19041 24234 25674 29953 38082 44429 47069 59906 69817 88858 89859 94138 133287 139634 141207 179718 209451 224453 266574 282414 329483 418902 448906 488719 658966 673359 977438 988449 1346718 1466157 1571171 1976898 2468983 2932314 3142342 4713513 4937966 7406949 9427026 14813898 17282881 27158813 34565762 51848643 54317626 81476439 103697286 162952878 190111691 380223382 570335073 1140670146