Search a number
-
+
116466066 = 23323791187
BaseRepresentation
bin1101111000100…
…10000110010010
322010011002102000
412330102012102
5214303403231
615320134430
72612642133
oct674220622
9263132360
10116466066
115a818752
1233007416
131b18a542
1411679c8a
15a3586e6
hex6f12192

116466066 has 64 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 36633168.

The previous prime is 116466041. The next prime is 116466073. The reversal of 116466066 is 660664611.

116466066 is a `hidden beast` number, since 1 + 1 + 6 + 46 + 606 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116466066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97525 + ... + 98711.

It is an arithmetic number, because the mean of its divisors is an integer number (4276800).

Almost surely, 2116466066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116466066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857600).

116466066 is an abundant number, since it is smaller than the sum of its proper divisors (157249134).

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

116466066 is a wasteful number, since it uses less digits than its factorization.

116466066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 116466066 is about 10791.9444957802. The cubic root of 116466066 is about 488.3521851904.

The spelling of 116466066 in words is "one hundred sixteen million, four hundred sixty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 79 138 158 207 237 414 474 621 711 1187 1242 1422 1817 2133 2374 3561 3634 4266 5451 7122 10683 10902 16353 21366 27301 32049 32706 49059 54602 64098 81903 93773 98118 163806 187546 245709 281319 491418 562638 737127 843957 1474254 1687914 2156779 2531871 4313558 5063742 6470337 12940674 19411011 38822022 58233033 116466066