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116676441 = 3274314297
BaseRepresentation
bin1101111010001…
…01011101011001
322010112202222200
412331011131121
5214332121231
615324440413
72614506360
oct675053531
9263482880
10116676441
115a951812
12330a9109
131b23221b
14116d27d7
15a39abe6
hex6f45759

116676441 has 24 divisors (see below), whose sum is σ = 193100544. Its totient is φ = 66502080.

The previous prime is 116676437. The next prime is 116676449. The reversal of 116676441 is 144676611.

It is a happy number.

116676441 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 644 + 1 = 666.

It is not a de Polignac number, because 116676441 - 22 = 116676437 is a prime.

It is a super-2 number, since 2×1166764412 = 27226783768852962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116676396 and 116676405.

It is not an unprimeable number, because it can be changed into a prime (116676449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25005 + ... + 29301.

It is an arithmetic number, because the mean of its divisors is an integer number (8045856).

Almost surely, 2116676441 is an apocalyptic number.

It is an amenable number.

116676441 is a deficient number, since it is larger than the sum of its proper divisors (76424103).

116676441 is a wasteful number, since it uses less digits than its factorization.

116676441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4738 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 116676441 is about 10801.6869515831. The cubic root of 116676441 is about 488.6460484526.

The spelling of 116676441 in words is "one hundred sixteen million, six hundred seventy-six thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 431 1293 3017 3879 4297 9051 12891 27153 30079 38673 90237 270711 1852007 5556021 12964049 16668063 38892147 116676441