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116040320 = 2751153311
BaseRepresentation
bin1101110101010…
…10001010000000
322002100110101122
412322222022000
5214201242240
615303051412
72606216654
oct672521200
9262313348
10116040320
115a5578a0
1232a40b68
131b06b816
14115a8a64
15a2c24b5
hex6eaa280

116040320 has 128 divisors (see below), whose sum is σ = 309329280. Its totient is φ = 41267200.

The previous prime is 116040319. The next prime is 116040349. The reversal of 116040320 is 23040611.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 372965 + ... + 373275.

It is an arithmetic number, because the mean of its divisors is an integer number (2416635).

Almost surely, 2116040320 is an apocalyptic number.

116040320 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 116040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

116040320 is an abundant number, since it is smaller than the sum of its proper divisors (193288960).

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

116040320 is a wasteful number, since it uses less digits than its factorization.

116040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 116040320 is about 10772.2012606523. The cubic root of 116040320 is about 487.7563954807.

Adding to 116040320 its reverse (23040611), we get a palindrome (139080931).

The spelling of 116040320 in words is "one hundred sixteen million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 265 311 320 352 424 440 530 583 622 640 704 848 880 1060 1166 1244 1408 1555 1696 1760 2120 2332 2488 2915 3110 3392 3421 3520 4240 4664 4976 5830 6220 6784 6842 7040 8480 9328 9952 11660 12440 13684 16483 16960 17105 18656 19904 23320 24880 27368 32966 33920 34210 37312 39808 46640 49760 54736 65932 68420 74624 82415 93280 99520 109472 131864 136840 164830 181313 186560 199040 218944 263728 273680 329660 362626 373120 437888 527456 547360 659320 725252 906565 1054912 1094720 1318640 1450504 1813130 2109824 2189440 2637280 2901008 3626260 5274560 5802016 7252520 10549120 11604032 14505040 23208064 29010080 58020160 116040320