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116140416 = 273743207
BaseRepresentation
bin1101110110000…
…10100110000000
322002112112200220
412323002212000
5214212443131
615305143040
72610114540
oct673024600
9262475626
10116140416
115a616017
1232a8aa80
131b0a5252
14115d3320
15a2e1e96
hex6ec2980

116140416 has 64 divisors (see below), whose sum is σ = 352577280. Its totient is φ = 33182208.

The previous prime is 116140411. The next prime is 116140421. The reversal of 116140416 is 614041611.

It is an interprime number because it is at equal distance from previous prime (116140411) and next prime (116140421).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116140411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18916 + ... + 24291.

It is an arithmetic number, because the mean of its divisors is an integer number (5509020).

Almost surely, 2116140416 is an apocalyptic number.

116140416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116140416 is an abundant number, since it is smaller than the sum of its proper divisors (236436864).

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

116140416 is an equidigital number, since it uses as much as digits as its factorization.

116140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43231 (or 43219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 116140416 is about 10776.8462919353. The cubic root of 116140416 is about 487.8966008646.

It can be divided in two parts, 11 and 6140416, that multiplied together give a palindrome (67544576).

The spelling of 116140416 in words is "one hundred sixteen million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 43207 86414 129621 172828 259242 302449 345656 518484 604898 691312 907347 1036968 1209796 1382624 1814694 2073936 2419592 2765248 3629388 4147872 4839184 5530496 7258776 8295744 9678368 14517552 16591488 19356736 29035104 38713472 58070208 116140416