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16051400 = 2352174721
BaseRepresentation
bin111101001110…
…110011001000
31010012111101022
4331032303020
513102121100
61332012012
7253302041
oct75166310
933174338
1016051400
119073722
125461008
133430091
1421bb8c8
151620e85
hexf4ecc8

16051400 has 48 divisors (see below), whose sum is σ = 39523140. Its totient is φ = 6041600.

The previous prime is 16051361. The next prime is 16051429. The reversal of 16051400 is 415061.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8444836 + 7606564 = 2906^2 + 2758^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1040 + ... + 5760.

Almost surely, 216051400 is an apocalyptic number.

16051400 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 16051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19761570).

16051400 is an abundant number, since it is smaller than the sum of its proper divisors (23471740).

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

16051400 is a wasteful number, since it uses less digits than its factorization.

16051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 16051400 is about 4006.4198481936. The cubic root of 16051400 is about 252.2537546388.

Adding to 16051400 its reverse (415061), we get a palindrome (16466461).

The spelling of 16051400 in words is "sixteen million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 4721 9442 18884 23605 37768 47210 80257 94420 118025 160514 188840 236050 321028 401285 472100 642056 802570 944200 1605140 2006425 3210280 4012850 8025700 16051400