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116385012 = 2234794547
BaseRepresentation
bin1101110111111…
…10010011110100
322002222222020000
412323332103310
5214243310022
615314311300
72612153622
oct673762364
9262888200
10116385012
115a772867
1232b88530
131b15c693
1411658512
15a33e6ac
hex6efe4f4

116385012 has 60 divisors (see below), whose sum is σ = 308172480. Its totient is φ = 38295504.

The previous prime is 116385001. The next prime is 116385041. The reversal of 116385012 is 210583611.

116385012 is a `hidden beast` number, since 11 + 638 + 5 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23323 + ... + 27869.

It is an arithmetic number, because the mean of its divisors is an integer number (5136208).

Almost surely, 2116385012 is an apocalyptic number.

116385012 is a gapful number since it is divisible by the number (12) 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 116385012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154086240).

116385012 is an abundant number, since it is smaller than the sum of its proper divisors (191787468).

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

116385012 is a wasteful number, since it uses less digits than its factorization.

116385012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116385012 is about 10788.1885411778. The cubic root of 116385012 is about 488.2388701123.

The spelling of 116385012 in words is "one hundred sixteen million, three hundred eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 4266 4547 6399 8532 9094 12798 13641 18188 25596 27282 40923 54564 81846 122769 163692 245538 359213 368307 491076 718426 736614 1077639 1436852 1473228 2155278 3232917 4310556 6465834 9698751 12931668 19397502 29096253 38795004 58192506 116385012