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116378460 = 2232511531109
BaseRepresentation
bin1101110111111…
…00101101011100
322002222122020100
412323330231130
5214243102320
615314221100
72612125542
oct673745534
9262878210
10116378460
115a768950
1232b84790
131b1596c3
1411655d92
15a33c790
hex6efcb5c

116378460 has 144 divisors (see below), whose sum is σ = 392726880. Its totient is φ = 27655680.

The previous prime is 116378453. The next prime is 116378467. The reversal of 116378460 is 64873611.

116378460 is a `hidden beast` number, since 11 + 637 + 8 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116378453) and next prime (116378467).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116378467) 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, 104386 + ... + 105494.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 2116378460 is an apocalyptic number.

116378460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116378460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196363440).

116378460 is an abundant number, since it is smaller than the sum of its proper divisors (276348420).

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

116378460 is a wasteful number, since it uses less digits than its factorization.

116378460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116378460 is about 10787.8848714658. The cubic root of 116378460 is about 488.2297079901.

The spelling of 116378460 in words is "one hundred sixteen million, three hundred seventy-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1109 1166 1590 1749 1908 1980 2218 2332 2385 2915 3180 3327 3498 4436 4770 5247 5545 5830 6654 6996 8745 9540 9981 10494 11090 11660 12199 13308 16635 17490 19962 20988 22180 24398 26235 33270 34980 36597 39924 48796 49905 52470 58777 60995 66540 73194 99810 104940 109791 117554 121990 146388 176331 182985 199620 219582 235108 243980 293885 352662 365970 439164 528993 548955 587770 646547 705324 731940 881655 1057986 1097910 1175540 1293094 1763310 1939641 2115972 2195820 2586188 2644965 3232735 3526620 3879282 5289930 5818923 6465470 7758564 9698205 10579860 11637846 12930940 19396410 23275692 29094615 38792820 58189230 116378460