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19955616 = 253972143
BaseRepresentation
bin100110000011…
…1111110100000
31101112211221220
41030013332200
520102034431
61551415040
7331422432
oct114077640
941484856
1019955616
111029aa4a
126824480
134199175
142916652
151b42b96
hex1307fa0

19955616 has 48 divisors (see below), whose sum is σ = 52948224. Its totient is φ = 6580224.

The previous prime is 19955609. The next prime is 19955633. The reversal of 19955616 is 61655991.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8241 + ... + 10383.

It is an arithmetic number, because the mean of its divisors is an integer number (1103088).

Almost surely, 219955616 is an apocalyptic number.

19955616 is a gapful number since it is divisible by the number (16) 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 19955616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26474112).

19955616 is an abundant number, since it is smaller than the sum of its proper divisors (32992608).

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

19955616 is a wasteful number, since it uses less digits than its factorization.

19955616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2245 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The square root of 19955616 is about 4467.1709168108. The cubic root of 19955616 is about 271.2408184225.

The spelling of 19955616 in words is "nineteen million, nine hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2143 2328 3104 4286 4656 6429 8572 9312 12858 17144 25716 34288 51432 68576 102864 205728 207871 415742 623613 831484 1247226 1662968 2494452 3325936 4988904 6651872 9977808 19955616