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116462080 = 29576797
BaseRepresentation
bin1101111000100…
…01001000000000
322010010212221101
412330101020000
5214303241310
615320104144
72612624410
oct674211000
9263125841
10116462080
115a815759
1233005054
131b188797
1411678640
15a35743a
hex6f11200

116462080 has 160 divisors (see below), whose sum is σ = 327229056. Its totient is φ = 38928384.

The previous prime is 116462063. The next prime is 116462119. The reversal of 116462080 is 80264611.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200592 + ... + 1200688.

Almost surely, 2116462080 is an apocalyptic number.

116462080 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 116462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528).

116462080 is an abundant number, since it is smaller than the sum of its proper divisors (210766976).

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

116462080 is an frugal number, since it uses more digits than its factorization.

116462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 116462080 is about 10791.7598194178. The cubic root of 116462080 is about 488.3466139138.

The spelling of 116462080 in words is "one hundred sixteen million, four hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 97 112 128 134 140 160 194 224 256 268 280 320 335 388 448 469 485 512 536 560 640 670 679 776 896 938 970 1072 1120 1280 1340 1358 1552 1792 1876 1940 2144 2240 2345 2560 2680 2716 3104 3395 3584 3752 3880 4288 4480 4690 5360 5432 6208 6499 6790 7504 7760 8576 8960 9380 10720 10864 12416 12998 13580 15008 15520 17152 17920 18760 21440 21728 24832 25996 27160 30016 31040 32495 34304 37520 42880 43456 45493 49664 51992 54320 60032 62080 64990 75040 85760 86912 90986 103984 108640 120064 124160 129980 150080 171520 173824 181972 207968 217280 227465 240128 248320 259960 300160 347648 363944 415936 434560 454930 519920 600320 727888 831872 869120 909860 1039840 1200640 1455776 1663744 1738240 1819720 2079680 2911552 3327488 3639440 4159360 5823104 7278880 8318720 11646208 14557760 16637440 23292416 29115520 58231040 116462080