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114327780 = 223572371051
BaseRepresentation
bin1101101000010…
…00000011100100
321222010110020020
412310020003210
5213231442110
615202235140
72555525100
oct664100344
9258113206
10114327780
1159598176
1232355ab0
131a8bc198
1411280900
15a084d70
hex6d080e4

114327780 has 144 divisors (see below), whose sum is σ = 382810176. Its totient is φ = 25401600.

The previous prime is 114327757. The next prime is 114327791. The reversal of 114327780 is 87723411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108255 + ... + 109305.

It is an arithmetic number, because the mean of its divisors is an integer number (2658404).

Almost surely, 2114327780 is an apocalyptic number.

114327780 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 114327780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191405088).

114327780 is an abundant number, since it is smaller than the sum of its proper divisors (268482396).

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

114327780 is a wasteful number, since it uses less digits than its factorization.

114327780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 114327780 is about 10692.4169391209. The cubic root of 114327780 is about 485.3450338238.

The spelling of 114327780 in words is "one hundred fourteen million, three hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 105 111 140 147 148 185 196 210 222 245 259 294 370 420 444 490 518 555 588 735 740 777 980 1036 1051 1110 1295 1470 1554 1813 2102 2220 2590 2940 3108 3153 3626 3885 4204 5180 5255 5439 6306 7252 7357 7770 9065 10510 10878 12612 14714 15540 15765 18130 21020 21756 22071 27195 29428 31530 36260 36785 38887 44142 51499 54390 63060 73570 77774 88284 102998 108780 110355 116661 147140 154497 155548 194435 205996 220710 233322 257495 272209 308994 388870 441420 466644 514990 544418 583305 617988 772485 777740 816627 1029980 1088836 1166610 1361045 1544970 1633254 1905463 2333220 2722090 3089940 3266508 3810926 4083135 5444180 5716389 7621852 8166270 9527315 11432778 16332540 19054630 22865556 28581945 38109260 57163890 114327780