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16932096 = 28327349
BaseRepresentation
bin100000010010…
…1110100000000
31011212020110200
41000211310000
513313311341
61402525200
7263630466
oct100456400
934766420
1016932096
119615375
125806800
13367abbc
14236a836
151746db6
hex1025d00

16932096 has 54 divisors (see below), whose sum is σ = 48826050. Its totient is φ = 5643264.

The previous prime is 16932077. The next prime is 16932101. The reversal of 16932096 is 69023961.

It can be written as a sum of positive squares in only one way, i.e., 15492096 + 1440000 = 3936^2 + 1200^2 .

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16932096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1371 + ... + 5978.

Almost surely, 216932096 is an apocalyptic number.

16932096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16932096 is an abundant number, since it is smaller than the sum of its proper divisors (31893954).

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

16932096 is an equidigital number, since it uses as much as digits as its factorization.

16932096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 16932096 is about 4114.8628166684. The cubic root of 16932096 is about 256.7853486852.

The spelling of 16932096 in words is "sixteen million, nine hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7349 14698 22047 29396 44094 58792 66141 88188 117584 132282 176376 235168 264564 352752 470336 529128 705504 940672 1058256 1411008 1881344 2116512 2822016 4233024 5644032 8466048 16932096