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20140080 = 2435312707
BaseRepresentation
bin100110011010…
…1000000110000
31101220012222220
41030311000300
520123440310
61555401040
7333121302
oct114650060
941805886
1020140080
11104065a4
1268b3180
13423210c
142963972
151b7c670
hex1335030

20140080 has 80 divisors (see below), whose sum is σ = 64472064. Its totient is φ = 5195520.

The previous prime is 20140079. The next prime is 20140091. The reversal of 20140080 is 8004102.

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 (15).

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, 6087 + ... + 8793.

Almost surely, 220140080 is an apocalyptic number.

20140080 is a gapful number since it is divisible by the number (20) 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 20140080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32236032).

20140080 is an abundant number, since it is smaller than the sum of its proper divisors (44331984).

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

20140080 is a wasteful number, since it uses less digits than its factorization.

20140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20140080 is about 4487.7700475849. The cubic root of 20140080 is about 272.0740138836.

Adding to 20140080 its reverse (8004102), we get a palindrome (28144182).

The spelling of 20140080 in words is "twenty million, one hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2707 3720 5414 7440 8121 10828 13535 16242 21656 27070 32484 40605 43312 54140 64968 81210 83917 108280 129936 162420 167834 216560 251751 324840 335668 419585 503502 649680 671336 839170 1007004 1258755 1342672 1678340 2014008 2517510 3356680 4028016 5035020 6713360 10070040 20140080