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116507440 = 2457208049
BaseRepresentation
bin1101111000111…
…00001100110000
322010020012011101
412330130030300
5214311214230
615321054144
72613203560
oct674341460
9263205141
10116507440
115a846845
1233027354
131b1a331a
141168ada0
15a365aca
hex6f1c330

116507440 has 40 divisors (see below), whose sum is σ = 309578400. Its totient is φ = 39945216.

The previous prime is 116507431. The next prime is 116507467. The reversal of 116507440 is 44705611.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 116507399 and 116507408.

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, 103465 + ... + 104584.

It is an arithmetic number, because the mean of its divisors is an integer number (7739460).

Almost surely, 2116507440 is an apocalyptic number.

116507440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116507440 is an abundant number, since it is smaller than the sum of its proper divisors (193070960).

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

116507440 is a wasteful number, since it uses less digits than its factorization.

116507440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208069 (or 208063 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 116507440 is about 10793.8612183037. The cubic root of 116507440 is about 488.4100065853.

The spelling of 116507440 in words is "one hundred sixteen million, five hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 208049 416098 832196 1040245 1456343 1664392 2080490 2912686 3328784 4160980 5825372 7281715 8321960 11650744 14563430 16643920 23301488 29126860 58253720 116507440