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16242984 = 2333139541
BaseRepresentation
bin111101111101…
…100100101000
31010120020012000
4331331210220
513124233414
61340051000
7255030432
oct75754450
933506160
1016242984
11919465a
125533a60
133499344
14222b652
15165cb09
hexf7d928

16242984 has 64 divisors (see below), whose sum is σ = 45528000. Its totient is φ = 5365440.

The previous prime is 16242983. The next prime is 16243009. The reversal of 16242984 is 48924261.

16242984 is a `hidden beast` number, since 1 + 624 + 29 + 8 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16242983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29754 + ... + 30294.

It is an arithmetic number, because the mean of its divisors is an integer number (711375).

Almost surely, 216242984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16242984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764000).

16242984 is an abundant number, since it is smaller than the sum of its proper divisors (29285016).

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

16242984 is a wasteful number, since it uses less digits than its factorization.

16242984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 16242984 is about 4030.2585525001. The cubic root of 16242984 is about 253.2533927518.

The spelling of 16242984 in words is "sixteen million, two hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 541 556 834 1082 1112 1251 1623 1668 2164 2502 3246 3336 3753 4328 4869 5004 6492 7506 9738 10008 12984 14607 15012 19476 29214 30024 38952 58428 75199 116856 150398 225597 300796 451194 601592 676791 902388 1353582 1804776 2030373 2707164 4060746 5414328 8121492 16242984