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116466144 = 2531213189
BaseRepresentation
bin1101111000100…
…10000111100000
322010011002111220
412330102013200
5214303404034
615320135040
72612642304
oct674220740
9263132456
10116466144
115a818813
1233007480
131b18a5a2
1411679d04
15a358749
hex6f121e0

116466144 has 24 divisors (see below), whose sum is σ = 305723880. Its totient is φ = 38822016.

The previous prime is 116466137. The next prime is 116466151. The reversal of 116466144 is 441664611.

Added to its reverse (441664611) it gives a triangular number (558130755 = T33410).

It is an interprime number because it is at equal distance from previous prime (116466137) and next prime (116466151).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 606499 + ... + 606690.

It is an arithmetic number, because the mean of its divisors is an integer number (12738495).

Almost surely, 2116466144 is an apocalyptic number.

It is an amenable number.

116466144 is an abundant number, since it is smaller than the sum of its proper divisors (189257736).

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

116466144 is a wasteful number, since it uses less digits than its factorization.

116466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213202 (or 1213194 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 116466144 is about 10791.9481095861. The cubic root of 116466144 is about 488.3522942106.

Adding to 116466144 its reverse (441664611), we get a triangular number (558130755 = T33410).

The spelling of 116466144 in words is "one hundred sixteen million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1213189 2426378 3639567 4852756 7279134 9705512 14558268 19411024 29116536 38822048 58233072 116466144