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116040640 = 2651783257
BaseRepresentation
bin1101110101010…
…10001111000000
322002100110211111
412322222033000
5214201300030
615303053104
72606220622
oct672521700
9262313744
10116040640
115a558061
1232a41194
131b06ba01
14115a8c12
15a2c262a
hex6eaa3c0

116040640 has 112 divisors (see below), whose sum is σ = 297253152. Its totient is φ = 42991616.

The previous prime is 116040611. The next prime is 116040641. The reversal of 116040640 is 46040611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116040641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451392 + ... + 451648.

It is an arithmetic number, because the mean of its divisors is an integer number (2654046).

Almost surely, 2116040640 is an apocalyptic number.

116040640 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 116040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148626576).

116040640 is an abundant number, since it is smaller than the sum of its proper divisors (181212512).

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

116040640 is a wasteful number, since it uses less digits than its factorization.

116040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 116040640 is about 10772.2161136880. The cubic root of 116040640 is about 487.7568438361.

The spelling of 116040640 in words is "one hundred sixteen million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 83 85 136 160 166 170 257 272 320 332 340 415 514 544 664 680 830 1028 1088 1285 1328 1360 1411 1660 2056 2570 2656 2720 2822 3320 4112 4369 5140 5312 5440 5644 6640 7055 8224 8738 10280 11288 13280 14110 16448 17476 20560 21331 21845 22576 26560 28220 34952 41120 42662 43690 45152 56440 69904 82240 85324 87380 90304 106655 112880 139808 170648 174760 213310 225760 279616 341296 349520 362627 426620 451520 682592 699040 725254 853240 1365184 1398080 1450508 1706480 1813135 2901016 3412960 3626270 5802032 6825920 7252540 11604064 14505080 23208128 29010160 58020320 116040640