Search a number
-
+
16921936 = 241762213
BaseRepresentation
bin100000010001…
…1010101010000
31011211201112101
41000203111100
513313000221
61402410144
7263556043
oct100432520
934751471
1016921936
119608779
125800954
1336763a5
142366c5a
151743d91
hex1023550

16921936 has 20 divisors (see below), whose sum is σ = 34715412. Its totient is φ = 7963136.

The previous prime is 16921921. The next prime is 16921937. The reversal of 16921936 is 63912961.

It can be written as a sum of positive squares in 2 ways, for example, as 6031936 + 10890000 = 2456^2 + 3300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16921895 and 16921904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16921937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30835 + ... + 31378.

Almost surely, 216921936 is an apocalyptic number.

16921936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16921936 is an abundant number, since it is smaller than the sum of its proper divisors (17793476).

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

16921936 is a wasteful number, since it uses less digits than its factorization.

16921936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62238 (or 62232 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 16921936 is about 4113.6280823623. The cubic root of 16921936 is about 256.7339775861.

Subtracting 16921936 from its reverse (63912961), we obtain a square (46991025 = 68552).

The spelling of 16921936 in words is "sixteen million, nine hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 62213 124426 248852 497704 995408 1057621 2115242 4230484 8460968 16921936