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116248000 = 2653111321
BaseRepresentation
bin1101110110111…
…00110111000000
322002202000021111
412323130313000
5214224414000
615311333104
72611043311
oct673346700
9262660244
10116248000
115a689930
1232b21194
131b1121cb
1411620608
15a313cba
hex6edcdc0

116248000 has 112 divisors (see below), whose sum is σ = 314297568. Its totient is φ = 42240000.

The previous prime is 116247991. The next prime is 116248009. The reversal of 116248000 is 842611.

It is an interprime number because it is at equal distance from previous prime (116247991) and next prime (116248009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116248009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87340 + ... + 88660.

Almost surely, 2116248000 is an apocalyptic number.

116248000 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 116248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157148784).

116248000 is an abundant number, since it is smaller than the sum of its proper divisors (198049568).

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

116248000 is a wasteful number, since it uses less digits than its factorization.

116248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 116248000 is about 10781.8365782458. The cubic root of 116248000 is about 488.0472049651.

The spelling of 116248000 in words is "one hundred sixteen million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1321 1375 1600 1760 2000 2200 2642 2750 3520 4000 4400 5284 5500 6605 8000 8800 10568 11000 13210 14531 17600 21136 22000 26420 29062 33025 42272 44000 52840 58124 66050 72655 84544 88000 105680 116248 132100 145310 165125 211360 232496 264200 290620 330250 363275 422720 464992 528400 581240 660500 726550 929984 1056800 1162480 1321000 1453100 1816375 2113600 2324960 2642000 2906200 3632750 4649920 5284000 5812400 7265500 10568000 11624800 14531000 23249600 29062000 58124000 116248000