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116181000 = 23335313331
BaseRepresentation
bin1101110110011…
…00100000001000
322002121121101000
412323030200020
5214220243000
615310055000
72610344055
oct673144010
9262547330
10116181000
115a643561
1232aaa460
131b0ba870
141160402c
15a2ee000
hex6ecc808

116181000 has 256 divisors, whose sum is σ = 435052800. Its totient is φ = 28512000.

The previous prime is 116180983. The next prime is 116181017. The reversal of 116181000 is 181611.

It is an interprime number because it is at equal distance from previous prime (116180983) and next prime (116181017).

It is a super-2 number, since 2×1161810002 = 26996049522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350835 + ... + 351165.

It is an arithmetic number, because the mean of its divisors is an integer number (1699425).

Almost surely, 2116181000 is an apocalyptic number.

116181000 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 116181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217526400).

116181000 is an abundant number, since it is smaller than the sum of its proper divisors (318871800).

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

116181000 is a wasteful number, since it uses less digits than its factorization.

116181000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 116181000 is about 10778.7290530934. The cubic root of 116181000 is about 487.9534242927.

The spelling of 116181000 in words is "one hundred sixteen million, one hundred eighty-one thousand".