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116359680 = 2935109139
BaseRepresentation
bin1101110111110…
…00001000000000
322002221200110210
412323320020000
5214242002210
615313554120
72612020023
oct673701000
9262850423
10116359680
115a755828
1232b75940
131b150ca8
141164d1ba
15a336e20
hex6ef8200

116359680 has 160 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 30523392.

The previous prime is 116359673. The next prime is 116359693. The reversal of 116359680 is 86953611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 837051 + ... + 837189.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2116359680 is an apocalyptic number.

116359680 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 116359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

116359680 is an abundant number, since it is smaller than the sum of its proper divisors (261741120).

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

116359680 is a wasteful number, since it uses less digits than its factorization.

116359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 116359680 is about 10787.0144154905. The cubic root of 116359680 is about 488.2034446903.

The spelling of 116359680 in words is "one hundred sixteen million, three hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 139 160 192 218 240 256 278 320 327 384 417 436 480 512 545 556 640 654 695 768 834 872 960 1090 1112 1280 1308 1390 1536 1635 1668 1744 1920 2085 2180 2224 2560 2616 2780 3270 3336 3488 3840 4170 4360 4448 5232 5560 6540 6672 6976 7680 8340 8720 8896 10464 11120 13080 13344 13952 15151 16680 17440 17792 20928 22240 26160 26688 27904 30302 33360 34880 35584 41856 44480 45453 52320 53376 55808 60604 66720 69760 71168 75755 83712 88960 90906 104640 106752 121208 133440 139520 151510 167424 177920 181812 209280 213504 227265 242416 266880 279040 303020 355840 363624 418560 454530 484832 533760 606040 727248 837120 909060 969664 1067520 1212080 1454496 1818120 1939328 2424160 2908992 3636240 3878656 4848320 5817984 7272480 7757312 9696640 11635968 14544960 19393280 23271936 29089920 38786560 58179840 116359680