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116645540 = 225112947389
BaseRepresentation
bin1101111001111…
…01111010100100
322010111012121012
412330331322210
5214330124130
615324041352
72614320314
oct674757244
9263435535
10116645540
115a930580
1233093258
131b22113b
14116c5444
15a391995
hex6f3dea4

116645540 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 39979520.

The previous prime is 116645521. The next prime is 116645549. The reversal of 116645540 is 45546611.

It is a junction number, because it is equal to n+sod(n) for n = 116645497 and 116645506.

It is not an unprimeable number, because it can be changed into a prime (116645549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299666 + ... + 300054.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2116645540 is an apocalyptic number.

116645540 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 116645540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

116645540 is an abundant number, since it is smaller than the sum of its proper divisors (166400860).

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

116645540 is a wasteful number, since it uses less digits than its factorization.

116645540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 116645540 is about 10800.2564784361. The cubic root of 116645540 is about 488.6029063963.

The spelling of 116645540 in words is "one hundred sixteen million, six hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 47 55 58 94 110 116 145 188 220 235 290 319 389 470 517 580 638 778 940 1034 1276 1363 1556 1595 1945 2068 2585 2726 3190 3890 4279 5170 5452 6380 6815 7780 8558 10340 11281 13630 14993 17116 18283 21395 22562 27260 29986 36566 42790 45124 56405 59972 73132 74965 85580 91415 112810 124091 149930 182830 201113 225620 248182 299860 365660 402226 496364 530207 620455 804452 1005565 1060414 1240910 2011130 2120828 2481820 2651035 4022260 5302070 5832277 10604140 11664554 23329108 29161385 58322770 116645540