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116442480 = 24357116301
BaseRepresentation
bin1101111000011…
…00010101110000
322010002220001110
412330030111300
5214302124410
615315433320
72612513310
oct674142560
9263086043
10116442480
115a801a60
1232bb5840
131b17c89b
1411671440
15a351720
hex6f0c570

116442480 has 160 divisors (see below), whose sum is σ = 450114048. Its totient is φ = 24192000.

The previous prime is 116442463. The next prime is 116442481. The reversal of 116442480 is 84244611.

It is a super-2 number, since 2×1164424802 = 27117702297100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116442481) 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 31 ways as a sum of consecutive naturals, for example, 15330 + ... + 21630.

Almost surely, 2116442480 is an apocalyptic number.

116442480 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 116442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225057024).

116442480 is an abundant number, since it is smaller than the sum of its proper divisors (333671568).

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

116442480 is a wasteful number, since it uses less digits than its factorization.

116442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 116442480 is about 10790.8516809379. The cubic root of 116442480 is about 488.3192169257.

The spelling of 116442480 in words is "one hundred sixteen million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 6301 9240 12602 18480 18903 25204 31505 37806 44107 50408 63010 69311 75612 88214 94515 100816 126020 132321 138622 151224 176428 189030 207933 220535 252040 264642 277244 302448 346555 352856 378060 415866 441070 485177 504080 529284 554488 661605 693110 705712 756120 831732 882140 970354 1039665 1058568 1108976 1323210 1386220 1455531 1512240 1663464 1764280 1940708 2079330 2117136 2425885 2646420 2772440 2911062 3326928 3528560 3881416 4158660 4851770 5292840 5544880 5822124 7277655 7762832 8317320 9703540 10585680 11644248 14555310 16634640 19407080 23288496 29110620 38814160 58221240 116442480