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114317680 = 2451975209
BaseRepresentation
bin1101101000001…
…01100101110000
321222002221101011
412310011211300
5213231131210
615202120304
72555453461
oct664054560
9258087334
10114317680
1159590624
1232350094
131a8b76c9
141127ad68
15a081d8a
hex6d05970

114317680 has 40 divisors (see below), whose sum is σ = 279781200. Its totient is φ = 43319808.

The previous prime is 114317669. The next prime is 114317683. The reversal of 114317680 is 86713411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114317683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36085 + ... + 39124.

It is an arithmetic number, because the mean of its divisors is an integer number (6994530).

Almost surely, 2114317680 is an apocalyptic number.

114317680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114317680 is an abundant number, since it is smaller than the sum of its proper divisors (165463520).

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

114317680 is a wasteful number, since it uses less digits than its factorization.

114317680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75241 (or 75235 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 114317680 is about 10691.9446313568. The cubic root of 114317680 is about 485.3307412077.

The spelling of 114317680 in words is "one hundred fourteen million, three hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 75209 150418 300836 376045 601672 752090 1203344 1428971 1504180 2857942 3008360 5715884 6016720 7144855 11431768 14289710 22863536 28579420 57158840 114317680