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19928016 = 2432138389
BaseRepresentation
bin100110000000…
…1001111010000
31101111110002200
41030001033100
520100144031
61551043200
7331246113
oct114011720
941443080
1019928016
1110281239
126810500
134189734
14290a57a
151b398e6
hex13013d0

19928016 has 30 divisors (see below), whose sum is σ = 55771170. Its totient is φ = 6642624.

The previous prime is 19927997. The next prime is 19928023. The reversal of 19928016 is 61082991.

It can be written as a sum of positive squares in only one way, i.e., 12110400 + 7817616 = 3480^2 + 2796^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69051 + ... + 69338.

It is an arithmetic number, because the mean of its divisors is an integer number (1859039).

Almost surely, 219928016 is an apocalyptic number.

19928016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19928016 is an abundant number, since it is smaller than the sum of its proper divisors (35843154).

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

19928016 is a wasteful number, since it uses less digits than its factorization.

19928016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138403 (or 138394 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19928016 is about 4464.0806444328. The cubic root of 19928016 is about 271.1157124444.

The spelling of 19928016 in words is "nineteen million, nine hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 138389 276778 415167 553556 830334 1107112 1245501 1660668 2214224 2491002 3321336 4982004 6642672 9964008 19928016