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14985972 = 2234232011
BaseRepresentation
bin111001001010…
…101011110100
31001012100220000
4321022223310
512314022342
61253111300
7241243611
oct71125364
931170800
1014985972
118506201
125028530
133149151
141dc1508
1514b044c
hexe4aaf4

14985972 has 60 divisors (see below), whose sum is σ = 40899936. Its totient is φ = 4775760.

The previous prime is 14985967. The next prime is 14985979. The reversal of 14985972 is 27958941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14985979) 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 19 ways as a sum of consecutive naturals, for example, 6447 + ... + 8457.

Almost surely, 214985972 is an apocalyptic number.

14985972 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 14985972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20449968).

14985972 is an abundant number, since it is smaller than the sum of its proper divisors (25913964).

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

14985972 is a wasteful number, since it uses less digits than its factorization.

14985972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2039 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 14985972 is about 3871.1719155832. The cubic root of 14985972 is about 246.5443034034.

The spelling of 14985972 in words is "fourteen million, nine hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2011 2484 3726 4022 6033 7452 8044 12066 18099 24132 36198 46253 54297 72396 92506 108594 138759 162891 185012 217188 277518 325782 416277 555036 651564 832554 1248831 1665108 2497662 3746493 4995324 7492986 14985972