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114543680 = 2652379197
BaseRepresentation
bin1101101001111…
…00110001000000
321222112102101112
412310330301000
5213310344210
615211022452
72560414406
oct664746100
9258472345
10114543680
11597253a9
123243aa28
131a966534
14112d9476
15a0c8d05
hex6d3cc40

114543680 has 112 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 43051008.

The previous prime is 114543677. The next prime is 114543691. The reversal of 114543680 is 86345411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581342 + ... + 581538.

Almost surely, 2114543680 is an apocalyptic number.

114543680 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 114543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

114543680 is an abundant number, since it is smaller than the sum of its proper divisors (175138240).

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

114543680 is a wasteful number, since it uses less digits than its factorization.

114543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 114543680 is about 10702.5081172592. The cubic root of 114543680 is about 485.6503550723.

The spelling of 114543680 in words is "one hundred fourteen million, five hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 79 80 92 115 158 160 184 197 230 316 320 368 394 395 460 632 736 788 790 920 985 1264 1472 1576 1580 1817 1840 1970 2528 3152 3160 3634 3680 3940 4531 5056 6304 6320 7268 7360 7880 9062 9085 12608 12640 14536 15563 15760 18124 18170 22655 25280 29072 31126 31520 36248 36340 45310 58144 62252 63040 72496 72680 77815 90620 116288 124504 144992 145360 155630 181240 249008 289984 290720 311260 357949 362480 498016 581440 622520 715898 724960 996032 1245040 1431796 1449920 1789745 2490080 2863592 3579490 4980160 5727184 7158980 11454368 14317960 22908736 28635920 57271840 114543680