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19998480 = 2435103809
BaseRepresentation
bin100110001001…
…0011100010000
31101122000202110
41030102130100
520104422410
61552345320
7331661415
oct114223420
941560673
1019998480
111031a177
126845240
1341b2828
14292810c
151b50720
hex1312710

19998480 has 80 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 5274624.

The previous prime is 19998479. The next prime is 19998481. The reversal of 19998480 is 8489991.

It is an interprime number because it is at equal distance from previous prime (19998479) and next prime (19998481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19998481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24316 + ... + 25124.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 219998480 is an apocalyptic number.

19998480 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 19998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

19998480 is an abundant number, since it is smaller than the sum of its proper divisors (42676080).

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

19998480 is a wasteful number, since it uses less digits than its factorization.

19998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 19998480 is about 4471.9660106043. The cubic root of 19998480 is about 271.4348849606.

The spelling of 19998480 in words is "nineteen million, nine hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 809 824 1030 1236 1545 1618 1648 2060 2427 2472 3090 3236 4045 4120 4854 4944 6180 6472 8090 8240 9708 12135 12360 12944 16180 19416 24270 24720 32360 38832 48540 64720 83327 97080 166654 194160 249981 333308 416635 499962 666616 833270 999924 1249905 1333232 1666540 1999848 2499810 3333080 3999696 4999620 6666160 9999240 19998480