Search a number
-
+
16219932 = 22329127367
BaseRepresentation
bin111101110111…
…111100011100
31010112001120020
4331313330130
513123014212
61335352140
7254603301
oct75677434
933461506
1016219932
119179303
125522650
13348b9c1
1422230a8
151655d8c
hexf77f1c

16219932 has 48 divisors (see below), whose sum is σ = 39567360. Its totient is φ = 5164992.

The previous prime is 16219927. The next prime is 16219933. The reversal of 16219932 is 23991261.

It is a junction number, because it is equal to n+sod(n) for n = 16219893 and 16219902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16219933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44013 + ... + 44379.

It is an arithmetic number, because the mean of its divisors is an integer number (824320).

Almost surely, 216219932 is an apocalyptic number.

16219932 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 16219932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19783680).

16219932 is an abundant number, since it is smaller than the sum of its proper divisors (23347428).

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

16219932 is a wasteful number, since it uses less digits than its factorization.

16219932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 16219932 is about 4027.3976709533. The cubic root of 16219932 is about 253.1335305157.

The spelling of 16219932 in words is "sixteen million, two hundred nineteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 127 174 254 348 367 381 508 734 762 1101 1468 1524 2202 3683 4404 7366 10643 11049 14732 21286 22098 31929 42572 44196 46609 63858 93218 127716 139827 186436 279654 559308 1351661 2703322 4054983 5406644 8109966 16219932