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116434746 = 2345371191
BaseRepresentation
bin1101111000010…
…10011100111010
322010002111110000
412330022130322
5214301402441
615315333430
72612451621
oct674123472
9263074400
10116434746
115a7a716a
1232bb1276
131b1791cc
141166c6b8
15a34e2b6
hex6f0a73a

116434746 has 80 divisors (see below), whose sum is σ = 270978048. Its totient is φ = 37346400.

The previous prime is 116434733. The next prime is 116434753. The reversal of 116434746 is 647434611.

116434746 is a `hidden beast` number, since 1 + 1 + 643 + 4 + 7 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116434746.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609511 + ... + 609701.

Almost surely, 2116434746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116434746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135489024).

116434746 is an abundant number, since it is smaller than the sum of its proper divisors (154543302).

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

116434746 is a wasteful number, since it uses less digits than its factorization.

116434746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 116434746 is about 10790.4933158776. The cubic root of 116434746 is about 488.3084054520.

The spelling of 116434746 in words is "one hundred sixteen million, four hundred thirty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 53 54 71 81 106 142 159 162 191 213 318 382 426 477 573 639 954 1146 1278 1431 1719 1917 2862 3438 3763 3834 4293 5157 5751 7526 8586 10123 10314 11289 11502 13561 15471 20246 22578 27122 30369 30942 33867 40683 60738 67734 81366 91107 101601 122049 182214 203202 244098 273321 304803 366147 546642 609606 718733 732294 819963 1098441 1437466 1639926 2156199 2196882 4312398 6468597 12937194 19405791 38811582 58217373 116434746