Search a number
-
+
1148290962 = 2371323611499
BaseRepresentation
bin100010001110001…
…1000011110010010
32222000201020001220
41010130120132102
54322430302322
6305535505510
740312212030
oct10434303622
92860636056
101148290962
1153a1a8aa5
12280688296
13153b8b210
14ac70d550
156ac2455c
hex44718792

1148290962 has 128 divisors (see below), whose sum is σ = 2999808000. Its totient is φ = 284739840.

The previous prime is 1148290961. The next prime is 1148291003. The reversal of 1148290962 is 2690928411.

It is a super-3 number, since 3×11482909623 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1148290961) 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 63 ways as a sum of consecutive naturals, for example, 765289 + ... + 766787.

It is an arithmetic number, because the mean of its divisors is an integer number (23436000).

Almost surely, 21148290962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148290962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

1148290962 is an abundant number, since it is smaller than the sum of its proper divisors (1851517038).

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

1148290962 is a wasteful number, since it uses less digits than its factorization.

1148290962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608.

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1148290962 is about 33886.4421561190. The cubic root of 1148290962 is about 1047.1702983954.

The spelling of 1148290962 in words is "one billion, one hundred forty-eight million, two hundred ninety thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 61 69 78 91 122 138 161 182 183 273 299 322 366 427 483 546 598 793 854 897 966 1281 1403 1499 1586 1794 2093 2379 2562 2806 2998 4186 4209 4497 4758 5551 6279 8418 8994 9821 10493 11102 12558 16653 18239 19487 19642 20986 29463 31479 33306 34477 36478 38974 54717 58461 58926 62958 68954 91439 103431 109434 116922 127673 136409 182878 206862 241339 255346 272818 274317 383019 409227 448201 482678 548634 640073 724017 766038 818454 896402 1188707 1280146 1344603 1448034 1920219 2103097 2377414 2689206 3137407 3566121 3840438 4206194 6274814 6309291 7132242 8320949 9412221 12618582 14721679 16641898 18824442 24962847 27340261 29443358 44165037 49925694 54680522 82020783 88330074 164041566 191381827 382763654 574145481 1148290962