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19880208 = 2433172707
BaseRepresentation
bin100101111010…
…1100100010000
31101102000112000
41023311210100
520042131313
61550034000
7330656535
oct113654420
941360460
1019880208
1110249327
1267a8900
134170a4a
1428d6d8c
151b2a673
hex12f5910

19880208 has 80 divisors (see below), whose sum is σ = 60442560. Its totient is φ = 6234624.

The previous prime is 19880149. The next prime is 19880221. The reversal of 19880208 is 80208891.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5991 + ... + 8697.

It is an arithmetic number, because the mean of its divisors is an integer number (755532).

Almost surely, 219880208 is an apocalyptic number.

19880208 is a gapful number since it is divisible by the number (18) 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 19880208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30221280).

19880208 is an abundant number, since it is smaller than the sum of its proper divisors (40562352).

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

19880208 is a wasteful number, since it uses less digits than its factorization.

19880208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 19880208 is about 4458.7226870484. The cubic root of 19880208 is about 270.8987335131.

The spelling of 19880208 in words is "nineteen million, eight hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 2707 3672 5414 7344 8121 10828 16242 21656 24363 32484 43312 46019 48726 64968 73089 92038 97452 129936 138057 146178 184076 194904 276114 292356 368152 389808 414171 552228 584712 736304 828342 1104456 1169424 1242513 1656684 2208912 2485026 3313368 4970052 6626736 9940104 19880208