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17919980 = 22513157439
BaseRepresentation
bin100010001011…
…0111111101100
31020201102120222
41010112333230
514041414410
61440030512
7305213561
oct104267754
936642528
1017919980
11a12a601
126002438
133935750
142546868
15188e955
hex1116fec

17919980 has 48 divisors (see below), whose sum is σ = 40877760. Its totient is φ = 6559488.

The previous prime is 17919977. The next prime is 17919991. The reversal of 17919980 is 8991971.

It is a super-2 number, since 2×179199802 = 642251366400800, which contains 22 as substring.

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, 40601 + ... + 41039.

It is an arithmetic number, because the mean of its divisors is an integer number (851620).

Almost surely, 217919980 is an apocalyptic number.

17919980 is a gapful number since it is divisible by the number (10) 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 17919980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438880).

17919980 is an abundant number, since it is smaller than the sum of its proper divisors (22957780).

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

17919980 is a wasteful number, since it uses less digits than its factorization.

17919980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 44.

The square root of 17919980 is about 4233.1997354247. The cubic root of 17919980 is about 261.6852074619.

The spelling of 17919980 in words is "seventeen million, nine hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 439 628 785 878 1570 1756 2041 2195 3140 4082 4390 5707 8164 8780 10205 11414 20410 22828 28535 40820 57070 68923 114140 137846 275692 344615 689230 895999 1378460 1791998 3583996 4479995 8959990 17919980