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20081520 = 243551033
BaseRepresentation
bin100110010011…
…0101101110000
31101210020200000
41030212231300
520120102040
61554230000
7332455464
oct114465560
941706600
1020081520
11103765a8
126885300
134211574
14294a4a4
151b6a130
hex1326b70

20081520 has 120 divisors (see below), whose sum is σ = 70005936. Its totient is φ = 5349888.

The previous prime is 20081519. The next prime is 20081531. The reversal of 20081520 is 2518002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20081493 and 20081502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18924 + ... + 19956.

Almost surely, 220081520 is an apocalyptic number.

20081520 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 20081520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35002968).

20081520 is an abundant number, since it is smaller than the sum of its proper divisors (49924416).

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

20081520 is a wasteful number, since it uses less digits than its factorization.

20081520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20081520 is about 4481.2408995723. The cubic root of 20081520 is about 271.8100605898.

Adding to 20081520 its reverse (2518002), we get a palindrome (22599522).

The spelling of 20081520 in words is "twenty million, eighty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1033 1080 1215 1296 1620 1944 2066 2160 2430 3099 3240 3888 4132 4860 5165 6198 6480 8264 9297 9720 10330 12396 15495 16528 18594 19440 20660 24792 27891 30990 37188 41320 46485 49584 55782 61980 74376 82640 83673 92970 111564 123960 139455 148752 167346 185940 223128 247920 251019 278910 334692 371880 418365 446256 502038 557820 669384 743760 836730 1004076 1115640 1255095 1338768 1673460 2008152 2231280 2510190 3346920 4016304 5020380 6693840 10040760 20081520