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116240384 = 212133759
BaseRepresentation
bin1101110110110…
…11000000000000
322002201121211102
412323123000000
5214224143014
615311233532
72611012151
oct673330000
9262647742
10116240384
115a684137
1232b188a8
131b10b8c0
141161b928
15a3118de
hex6edb000

116240384 has 104 divisors (see below), whose sum is σ = 261456720. Its totient is φ = 51314688.

The previous prime is 116240303. The next prime is 116240393. The reversal of 116240384 is 483042611.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1970147 + ... + 1970205.

Almost surely, 2116240384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130728360).

116240384 is an abundant number, since it is smaller than the sum of its proper divisors (145216336).

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

116240384 is an equidigital number, since it uses as much as digits as its factorization.

116240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 116240384 is about 10781.4833858797. The cubic root of 116240384 is about 488.0365465776.

Adding to 116240384 its reverse (483042611), we get a palindrome (599282995).

The spelling of 116240384 in words is "one hundred sixteen million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 59 64 74 104 118 128 148 208 236 256 296 416 472 481 512 592 767 832 944 962 1024 1184 1534 1664 1888 1924 2048 2183 2368 3068 3328 3776 3848 4096 4366 4736 6136 6656 7552 7696 8732 9472 12272 13312 15104 15392 17464 18944 24544 26624 28379 30208 30784 34928 37888 49088 53248 56758 60416 61568 69856 75776 98176 113516 120832 123136 139712 151552 196352 227032 241664 246272 279424 392704 454064 492544 558848 785408 908128 985088 1117696 1570816 1816256 1970176 2235392 3141632 3632512 4470784 7265024 8941568 14530048 29060096 58120192 116240384