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116257743 = 3272477179
BaseRepresentation
bin1101110110111…
…11001111001111
322002202111122100
412323133033033
5214230221433
615311450143
72611113600
oct673371717
9262674570
10116257743
115a696188
1232b26953
131b116784
1411623da7
15a316b13
hex6edf3cf

116257743 has 72 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 63292320.

The previous prime is 116257741. The next prime is 116257753. The reversal of 116257743 is 347752611.

It is a happy number.

It is not a de Polignac number, because 116257743 - 21 = 116257741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116257698 and 116257707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116257741) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1471578 + ... + 1471656.

It is an arithmetic number, because the mean of its divisors is an integer number (2845440).

Almost surely, 2116257743 is an apocalyptic number.

116257743 is a deficient number, since it is larger than the sum of its proper divisors (88613937).

116257743 is a wasteful number, since it uses less digits than its factorization.

116257743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 116257743 is about 10782.2883934720. The cubic root of 116257743 is about 488.0608393533.

The spelling of 116257743 in words is "one hundred sixteen million, two hundred fifty-seven thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 47 49 63 71 79 141 147 213 237 329 423 441 497 553 639 711 987 1491 1659 2303 2961 3337 3479 3713 3871 4473 4977 5609 6909 10011 10437 11139 11613 16827 20727 23359 25991 30033 31311 33417 34839 39263 50481 70077 77973 117789 163513 181937 210231 233919 263623 274841 353367 490539 545811 790869 824523 1471617 1637433 1845361 2372607 2473569 5536083 12917527 16608249 38752581 116257743