Search a number
-
+
116668476 = 223247531301
BaseRepresentation
bin1101111010000…
…11100000111100
322010112101001200
412331003200330
5214331342401
615324335500
72614444221
oct675034074
9263471050
10116668476
115a946831
12330a4590
131b22b702
14116cd948
15a398686
hex6f4383c

116668476 has 72 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 37315200.

The previous prime is 116668463. The next prime is 116668499. The reversal of 116668476 is 674866611.

It is a super-2 number, since 2×1166684762 = 27223066584325152, which contains 22 as substring.

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, 89026 + ... + 90326.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2116668476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116668476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

116668476 is an abundant number, since it is smaller than the sum of its proper divisors (190436868).

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

116668476 is a wasteful number, since it uses less digits than its factorization.

116668476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1406 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 116668476 is about 10801.3182528801. The cubic root of 116668476 is about 488.6349289432.

The spelling of 116668476 in words is "one hundred sixteen million, six hundred sixty-eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 53 94 106 141 159 188 212 282 318 423 477 564 636 846 954 1301 1692 1908 2491 2602 3903 4982 5204 7473 7806 9964 11709 14946 15612 22419 23418 29892 44838 46836 61147 68953 89676 122294 137906 183441 206859 244588 275812 366882 413718 550323 620577 733764 827436 1100646 1241154 2201292 2482308 3240791 6481582 9722373 12963164 19444746 29167119 38889492 58334238 116668476