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116705100 = 22352733
BaseRepresentation
bin1101111010011…
…00011101001100
322010121020022010
412331030131030
5214334030400
615325221220
72614656051
oct675143514
9263536263
10116705100
115a9712a6
1233101810
131b242295
14116dd028
15a3a4450
hex6f4c74c

116705100 has 72 divisors (see below), whose sum is σ = 342356560. Its totient is φ = 30695040.

The previous prime is 116705081. The next prime is 116705117. The reversal of 116705100 is 1507611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1598664 + ... + 1598736.

Almost surely, 2116705100 is an apocalyptic number.

116705100 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 116705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171178280).

116705100 is an abundant number, since it is smaller than the sum of its proper divisors (225651460).

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

116705100 is an frugal number, since it uses more digits than its factorization.

116705100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 116705100 is about 10803.0134684726. The cubic root of 116705100 is about 488.6860535600.

The spelling of 116705100 in words is "one hundred sixteen million, seven hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5329 5475 7300 10658 10950 15987 21316 21900 26645 31974 53290 63948 79935 106580 133225 159870 266450 319740 389017 399675 532900 778034 799350 1167051 1556068 1598700 1945085 2334102 3890170 4668204 5835255 7780340 9725425 11670510 19450850 23341020 29176275 38901700 58352550 116705100