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116181180 = 223253147443
BaseRepresentation
bin1101110110011…
…00100010111100
322002121121121200
412323030202330
5214220244210
615310055500
72610344433
oct673144274
9262547550
10116181180
115a643705
1232aaa590
131b0ba97b
141160411a
15a2ee0c0
hex6ecc8bc

116181180 has 144 divisors (see below), whose sum is σ = 372363264. Its totient is φ = 29278080.

The previous prime is 116181173. The next prime is 116181187. The reversal of 116181180 is 81181611.

It is an interprime number because it is at equal distance from previous prime (116181173) and next prime (116181187).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116181187) 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, 262039 + ... + 262481.

It is an arithmetic number, because the mean of its divisors is an integer number (2585856).

Almost surely, 2116181180 is an apocalyptic number.

116181180 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 116181180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186181632).

116181180 is an abundant number, since it is smaller than the sum of its proper divisors (256182084).

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

116181180 is a wasteful number, since it uses less digits than its factorization.

116181180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The square root of 116181180 is about 10778.7374028687. The cubic root of 116181180 is about 487.9536762890.

The spelling of 116181180 in words is "one hundred sixteen million, one hundred eighty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 443 465 470 558 564 620 705 846 886 930 940 1116 1329 1395 1410 1457 1692 1772 1860 2115 2215 2658 2790 2820 2914 3987 4230 4371 4430 5316 5580 5828 6645 7285 7974 8460 8742 8860 13113 13290 13733 14570 15948 17484 19935 20821 21855 26226 26580 27466 29140 39870 41199 41642 43710 52452 54932 62463 65565 68665 79740 82398 83284 87420 104105 123597 124926 131130 137330 164796 187389 205995 208210 247194 249852 262260 274660 312315 374778 411990 416420 494388 617985 624630 645451 749556 823980 936945 1235970 1249260 1290902 1873890 1936353 2471940 2581804 3227255 3747780 3872706 5809059 6454510 7745412 9681765 11618118 12909020 19363530 23236236 29045295 38727060 58090590 116181180