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116041152 = 2634114741
BaseRepresentation
bin1101110101010…
…10010111000000
322002100111112110
412322222113000
5214201304102
615303055320
72606222253
oct672522700
9262314473
10116041152
115a558487
1232a41540
131b06c006
14115a909a
15a2c286c
hex6eaa5c0

116041152 has 56 divisors (see below), whose sum is σ = 314535312. Its totient is φ = 37734400.

The previous prime is 116041129. The next prime is 116041157. The reversal of 116041152 is 251140611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116041157) 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 7 ways as a sum of consecutive naturals, for example, 502 + ... + 15242.

It is an arithmetic number, because the mean of its divisors is an integer number (5616702).

Almost surely, 2116041152 is an apocalyptic number.

116041152 is a gapful number since it is divisible by the number (12) 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 116041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157267656).

116041152 is an abundant number, since it is smaller than the sum of its proper divisors (198494160).

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

116041152 is a wasteful number, since it uses less digits than its factorization.

116041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14797 (or 14787 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 116041152 is about 10772.2398785025. The cubic root of 116041152 is about 487.7575612030.

Adding to 116041152 its reverse (251140611), we get a palindrome (367181763).

The spelling of 116041152 in words is "one hundred sixteen million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 14741 29482 44223 58964 88446 117928 176892 235856 353784 471712 604381 707568 943424 1208762 1415136 1813143 2417524 2830272 3626286 4835048 7252572 9670096 14505144 19340192 29010288 38680384 58020576 116041152