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16002372 = 22317471669
BaseRepresentation
bin111101000010…
…110101000100
31010010000010110
4331002311010
513044033442
61330553020
7253006101
oct75026504
933100113
1016002372
11903a901
125438770
133413979
1421a7aa8
15161169c
hexf42d44

16002372 has 48 divisors (see below), whose sum is σ = 40400640. Its totient is φ = 4910592.

The previous prime is 16002331. The next prime is 16002377. The reversal of 16002372 is 27320061.

It is a happy number.

It is a super-3 number, since 3×160023723 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16002377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8754 + ... + 10422.

It is an arithmetic number, because the mean of its divisors is an integer number (841680).

Almost surely, 216002372 is an apocalyptic number.

16002372 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 16002372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200320).

16002372 is an abundant number, since it is smaller than the sum of its proper divisors (24398268).

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

16002372 is a wasteful number, since it uses less digits than its factorization.

16002372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 16002372 is about 4000.2964890118. The cubic root of 16002372 is about 251.9966615834.

The spelling of 16002372 in words is "sixteen million, two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 1669 2397 3196 3338 4794 5007 6676 9588 10014 20028 28373 56746 78443 85119 113492 156886 170238 235329 313772 340476 470658 941316 1333531 2667062 4000593 5334124 8001186 16002372