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116675040 = 2535243073
BaseRepresentation
bin1101111010001…
…01000111100000
322010112201001210
412331011013200
5214332100130
615324430120
72614502316
oct675050740
9263481053
10116675040
115a950759
12330a8340
131b2316b1
14116d20b6
15a39a5b0
hex6f451e0

116675040 has 48 divisors (see below), whose sum is σ = 367527888. Its totient is φ = 31113216.

The previous prime is 116674993. The next prime is 116675057. The reversal of 116675040 is 40576611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1166750402 = 27226129918003200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116674989 and 116675007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 121057 + ... + 122016.

It is an arithmetic number, because the mean of its divisors is an integer number (7656831).

Almost surely, 2116675040 is an apocalyptic number.

116675040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116675040 is an abundant number, since it is smaller than the sum of its proper divisors (250852848).

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

116675040 is a wasteful number, since it uses less digits than its factorization.

116675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243091 (or 243083 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 116675040 is about 10801.6221004070. The cubic root of 116675040 is about 488.6440926283.

The spelling of 116675040 in words is "one hundred sixteen million, six hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 243073 486146 729219 972292 1215365 1458438 1944584 2430730 2916876 3646095 3889168 4861460 5833752 7292190 7778336 9722920 11667504 14584380 19445840 23335008 29168760 38891680 58337520 116675040