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16161000 = 233535387
BaseRepresentation
bin111101101001…
…100011101000
31010102001201120
4331221203220
513114123000
61334215240
7254236422
oct75514350
933361646
1016161000
119138aa9
1254b4520
13346ac2b
142209812
1516436a0
hexf698e8

16161000 has 64 divisors (see below), whose sum is σ = 50431680. Its totient is φ = 4308800.

The previous prime is 16160957. The next prime is 16161007. The reversal of 16161000 is 16161.

It is a super-2 number, since 2×161610002 = 522355842000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (16161007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (787995).

Almost surely, 216161000 is an apocalyptic number.

16161000 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 16161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25215840).

16161000 is an abundant number, since it is smaller than the sum of its proper divisors (34270680).

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

16161000 is a wasteful number, since it uses less digits than its factorization.

16161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 16161000 is about 4020.0746261730. The cubic root of 16161000 is about 252.8265878274.

Adding to 16161000 its reverse (16161), we get a palindrome (16177161).

16161000 divided by its reverse (16161) gives a cube (1000 = 103).

The spelling of 16161000 in words is "sixteen million, one hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5387 10774 16161 21548 26935 32322 43096 53870 64644 80805 107740 129288 134675 161610 215480 269350 323220 404025 538700 646440 673375 808050 1077400 1346750 1616100 2020125 2693500 3232200 4040250 5387000 8080500 16161000