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116747904 = 2737132257
BaseRepresentation
bin1101111010101…
…10111010000000
322010200102000110
412331112322000
5214341413104
615330151320
72615224620
oct675267200
9263612013
10116747904
115a9a0479
1233122540
131b258900
1411710880
15a3b1e89
hex6f56e80

116747904 has 192 divisors, whose sum is σ = 385266240. Its totient is φ = 30670848.

The previous prime is 116747899. The next prime is 116747909. The reversal of 116747904 is 409747611.

It is an interprime number because it is at equal distance from previous prime (116747899) and next prime (116747909).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (116747909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454144 + ... + 454400.

It is an arithmetic number, because the mean of its divisors is an integer number (2006595).

Almost surely, 2116747904 is an apocalyptic number.

116747904 is a gapful number since it is divisible by the number (14) 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 116747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192633120).

116747904 is an abundant number, since it is smaller than the sum of its proper divisors (268518336).

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

116747904 is a wasteful number, since it uses less digits than its factorization.

116747904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 116747904 is about 10804.9944007389. The cubic root of 116747904 is about 488.7457914835.

The spelling of 116747904 in words is "one hundred sixteen million, seven hundred forty-seven thousand, nine hundred four".