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1146131630 = 257234197179
BaseRepresentation
bin100010001010000…
…1001010010101110
32221212122112000122
41010110021102232
54321402203010
6305421324542
740254646430
oct10424112256
92855575018
101146131630
11538a63726
1227ba06752
131535b33c7
14ac30a650
156a949855
hex445094ae

1146131630 has 128 divisors (see below), whose sum is σ = 2560481280. Its totient is φ = 360898560.

The previous prime is 1146131593. The next prime is 1146131669. The reversal of 1146131630 is 361316411.

It is a self number, because there is not a number n which added to its sum of digits gives 1146131630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6402881 + ... + 6403059.

It is an arithmetic number, because the mean of its divisors is an integer number (20003760).

Almost surely, 21146131630 is an apocalyptic number.

1146131630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146131630 is an abundant number, since it is smaller than the sum of its proper divisors (1414349650).

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

1146131630 is a wasteful number, since it uses less digits than its factorization.

1146131630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1146131630 is about 33854.5658663643. The cubic root of 1146131630 is about 1046.5134941355.

The spelling of 1146131630 in words is "one billion, one hundred forty-six million, one hundred thirty-one thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 41 46 70 82 97 115 161 179 194 205 230 287 322 358 410 485 574 679 805 895 943 970 1253 1358 1435 1610 1790 1886 2231 2506 2870 3395 3977 4117 4462 4715 6265 6601 6790 7339 7954 8234 9430 11155 12530 13202 14678 15617 17363 19885 20585 22310 27839 28819 31234 33005 34726 36695 39770 41170 51373 55678 57638 66010 73390 78085 86815 91471 102746 121541 139195 144095 156170 168797 173630 182942 243082 256865 278390 288190 337594 399349 457355 513730 607705 640297 711883 798698 843985 914710 1181579 1215410 1280594 1423766 1687970 1996745 2363158 2795443 3201485 3559415 3993490 4983181 5590886 5907895 6402970 7118830 9966362 11815790 13977215 16373309 24915905 27954430 32746618 49831810 81866545 114613163 163733090 229226326 573065815 1146131630