Search a number
-
+
116146980 = 22335215087
BaseRepresentation
bin1101110110001…
…00001100100100
322002112212201000
412323010030210
5214213200410
615305233300
72610142635
oct673041444
9262485630
10116146980
115a61aa44
1232a92830
131b0a8231
14115d588c
15a2e3dc0
hex6ec4324

116146980 has 48 divisors (see below), whose sum is σ = 361347840. Its totient is φ = 30972384.

The previous prime is 116146967. The next prime is 116146991. The reversal of 116146980 is 89641611.

It is a happy number.

116146980 is a `hidden beast` number, since 116 + 1 + 469 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107004 + ... + 108083.

It is an arithmetic number, because the mean of its divisors is an integer number (7528080).

Almost surely, 2116146980 is an apocalyptic number.

116146980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116146980 is an abundant number, since it is smaller than the sum of its proper divisors (245200860).

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

116146980 is a wasteful number, since it uses less digits than its factorization.

116146980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215105 (or 215097 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116146980 is about 10777.1508294168. The cubic root of 116146980 is about 487.9057923045.

The spelling of 116146980 in words is "one hundred sixteen million, one hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 215087 430174 645261 860348 1075435 1290522 1935783 2150870 2581044 3226305 3871566 4301740 5807349 6452610 7743132 9678915 11614698 12905220 19357830 23229396 29036745 38715660 58073490 116146980