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19916208 = 24321310639
BaseRepresentation
bin100101111111…
…0010110110000
31101110211220100
41023332112300
520044304313
61550512400
7331166514
oct113762660
941424810
1019916208
1110273384
126805700
134184250
142906144
151b36173
hex12fe5b0

19916208 has 60 divisors (see below), whose sum is σ = 60030880. Its totient is φ = 6127488.

The previous prime is 19916207. The next prime is 19916209. The reversal of 19916208 is 80261991.

It is an interprime number because it is at equal distance from previous prime (19916207) and next prime (19916209).

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

It is not an unprimeable number, because it can be changed into a prime (19916207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3448 + ... + 7191.

Almost surely, 219916208 is an apocalyptic number.

19916208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19916208 is an abundant number, since it is smaller than the sum of its proper divisors (40114672).

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

19916208 is a wasteful number, since it uses less digits than its factorization.

19916208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10657 counting only the distinct ones).

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

The square root of 19916208 is about 4462.7578917078. The cubic root of 19916208 is about 271.0621535613.

The spelling of 19916208 in words is "nineteen million, nine hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 10639 21278 31917 42556 63834 85112 95751 127668 138307 170224 191502 255336 276614 383004 414921 510672 553228 766008 829842 1106456 1244763 1532016 1659684 2212912 2489526 3319368 4979052 6638736 9958104 19916208