Search a number
-
+
116606000 = 245378329
BaseRepresentation
bin1101111001101…
…00010000110000
322010102012100202
412330310100300
5214322343000
615323134332
72614064120
oct674642060
9263365322
10116606000
115a9038a5
12330743a8
131b209144
14116b4c80
15a384dd5
hex6f34430

116606000 has 80 divisors (see below), whose sum is σ = 322271040. Its totient is φ = 39974400.

The previous prime is 116605987. The next prime is 116606003. The reversal of 116606000 is 606611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (116606003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9836 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2116606000 is an apocalyptic number.

116606000 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 116606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161135520).

116606000 is an abundant number, since it is smaller than the sum of its proper divisors (205665040).

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

116606000 is an equidigital number, since it uses as much as digits as its factorization.

116606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 116606000 is about 10798.4258112004. The cubic root of 116606000 is about 488.5476919913.

The spelling of 116606000 in words is "one hundred sixteen million, six hundred six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 8329 14000 16658 33316 41645 58303 66632 83290 116606 133264 166580 208225 233212 291515 333160 416450 466424 583030 666320 832900 932848 1041125 1166060 1457575 1665800 2082250 2332120 2915150 3331600 4164500 4664240 5830300 7287875 8329000 11660600 14575750 16658000 23321200 29151500 58303000 116606000