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19520016 = 2432937379
BaseRepresentation
bin100101001110…
…1101000010000
31100201201102120
41022131220100
514444120031
61534214240
7324626445
oct112355020
940651376
1019520016
111002274a
126654380
134075b09
1428419cc
151aa8a96
hex129da10

19520016 has 80 divisors (see below), whose sum is σ = 53716800. Its totient is φ = 6096384.

The previous prime is 19520003. The next prime is 19520021. The reversal of 19520016 is 61002591.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51315 + ... + 51693.

It is an arithmetic number, because the mean of its divisors is an integer number (671460).

Almost surely, 219520016 is an apocalyptic number.

19520016 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 19520016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858400).

19520016 is an abundant number, since it is smaller than the sum of its proper divisors (34196784).

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

19520016 is a wasteful number, since it uses less digits than its factorization.

19520016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 19520016 is about 4418.1462175895. The cubic root of 19520016 is about 269.2526934569.

The spelling of 19520016 in words is "nineteen million, five hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 379 444 464 592 696 758 888 1073 1137 1392 1516 1776 2146 2274 3032 3219 4292 4548 6064 6438 8584 9096 10991 12876 14023 17168 18192 21982 25752 28046 32973 42069 43964 51504 56092 65946 84138 87928 112184 131892 168276 175856 224368 263784 336552 406667 527568 673104 813334 1220001 1626668 2440002 3253336 4880004 6506672 9760008 19520016