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16996140 = 22325724147
BaseRepresentation
bin100000011010…
…1011100101100
31011222111022200
41000311130230
513322334030
61404141500
7264315300
oct100653454
934874280
1016996140
1196594a7
125837890
1336a10b5
142385d00
15175ad60
hex103572c

16996140 has 216 divisors, whose sum is σ = 62741952. Its totient is φ = 3709440.

The previous prime is 16996129. The next prime is 16996163. The reversal of 16996140 is 4169961.

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

It is a junction number, because it is equal to n+sod(n) for n = 16996095 and 16996104.

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 71 ways as a sum of consecutive naturals, for example, 361597 + ... + 361643.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 216996140 is an apocalyptic number.

16996140 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 16996140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

16996140 is an abundant number, since it is smaller than the sum of its proper divisors (45745812).

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

16996140 is a wasteful number, since it uses less digits than its factorization.

16996140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 16996140 is about 4122.6375052871. The cubic root of 16996140 is about 257.1086965203.

The spelling of 16996140 in words is "sixteen million, nine hundred ninety-six thousand, one hundred forty".