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116171040 = 2535415903
BaseRepresentation
bin1101110110010…
…10000100100000
322002121002201010
412323022010200
5214214433130
615305540520
72610303036
oct673120440
9262532633
10116171040
115a637027
1232aa4740
131b0b617b
1411600556
15a2eb0b0
hex6eca120

116171040 has 96 divisors (see below), whose sum is σ = 374927616. Its totient is φ = 30218240.

The previous prime is 116171039. The next prime is 116171053. The reversal of 116171040 is 40171611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 116170998 and 116171016.

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 15 ways as a sum of consecutive naturals, for example, 16729 + ... + 22631.

It is an arithmetic number, because the mean of its divisors is an integer number (3905496).

Almost surely, 2116171040 is an apocalyptic number.

116171040 is a gapful number since it is divisible by the number (10) 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 116171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187463808).

116171040 is an abundant number, since it is smaller than the sum of its proper divisors (258756576).

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

116171040 is a wasteful number, since it uses less digits than its factorization.

116171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 116171040 is about 10778.2670221145. The cubic root of 116171040 is about 487.9394800878.

The spelling of 116171040 in words is "one hundred sixteen million, one hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 5903 6560 9840 11806 17709 19680 23612 29515 35418 47224 59030 70836 88545 94448 118060 141672 177090 188896 236120 242023 283344 354180 472240 484046 566688 708360 726069 944480 968092 1210115 1416720 1452138 1936184 2420230 2833440 2904276 3630345 3872368 4840460 5808552 7260690 7744736 9680920 11617104 14521380 19361840 23234208 29042760 38723680 58085520 116171040