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116679200 = 25521113259
BaseRepresentation
bin1101111010001…
…10001000100000
322010112220202212
412331012020200
5214332213300
615324501252
72614520411
oct675061040
9263486685
10116679200
115a9538a0
12330aa828
131b233561
14116d3808
15a39b935
hex6f46220

116679200 has 72 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 42425600.

The previous prime is 116679197. The next prime is 116679203. The reversal of 116679200 is 2976611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116679197) and next prime (116679203).

It is a super-2 number, since 2×1166792002 = 27228071425280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (116679203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2171 + ... + 15429.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2116679200 is an apocalyptic number.

116679200 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 116679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

116679200 is an abundant number, since it is smaller than the sum of its proper divisors (194082160).

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

116679200 is a wasteful number, since it uses less digits than its factorization.

116679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 116679200 is about 10801.8146623611. The cubic root of 116679200 is about 488.6499000265.

The spelling of 116679200 in words is "one hundred sixteen million, six hundred seventy-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 13259 26518 53036 66295 106072 132590 145849 212144 265180 291698 331475 424288 530360 583396 662950 729245 1060720 1166792 1325900 1458490 2121440 2333584 2651800 2916980 3646225 4667168 5303600 5833960 7292450 10607200 11667920 14584900 23335840 29169800 58339600 116679200