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19402080 = 253583487
BaseRepresentation
bin100101000000…
…0110101100000
31100111201122120
41022000311200
514431331310
61531504240
7323625555
oct112006540
940451576
1019402080
11aa52085
1265b8080
134034229
142810a2c
151a83b70
hex1280d60

19402080 has 96 divisors (see below), whose sum is σ = 61979904. Its totient is φ = 5101056.

The previous prime is 19402079. The next prime is 19402121. The reversal of 19402080 is 8020491.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 19402080.

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, 39597 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (645624).

Almost surely, 219402080 is an apocalyptic number.

19402080 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 19402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30989952).

19402080 is an abundant number, since it is smaller than the sum of its proper divisors (42577824).

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

19402080 is a wasteful number, since it uses less digits than its factorization.

19402080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 19402080 is about 4404.7792226172. The cubic root of 19402080 is about 268.7093408834.

The spelling of 19402080 in words is "nineteen million, four hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 487 498 664 830 974 996 1245 1328 1461 1660 1948 1992 2435 2490 2656 2922 3320 3896 3984 4870 4980 5844 6640 7305 7792 7968 9740 9960 11688 13280 14610 15584 19480 19920 23376 29220 38960 39840 40421 46752 58440 77920 80842 116880 121263 161684 202105 233760 242526 323368 404210 485052 606315 646736 808420 970104 1212630 1293472 1616840 1940208 2425260 3233680 3880416 4850520 6467360 9701040 19402080