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20001520 = 24571117191
BaseRepresentation
bin100110001001…
…1001011110000
31101122011221001
41030103023300
520110022040
61552411344
7332003320
oct114231360
941564831
1020001520
1110321490
126846b54
1341b4026
142929280
151b5159a
hex13132f0

20001520 has 160 divisors (see below), whose sum is σ = 61710336. Its totient is φ = 5836800.

The previous prime is 20001517. The next prime is 20001521. The reversal of 20001520 is 2510002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20001497 and 20001506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104625 + ... + 104815.

Almost surely, 220001520 is an apocalyptic number.

20001520 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 20001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855168).

20001520 is an abundant number, since it is smaller than the sum of its proper divisors (41708816).

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

20001520 is a wasteful number, since it uses less digits than its factorization.

20001520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 20001520 is about 4472.3058929371. The cubic root of 20001520 is about 271.4486380099.

Adding to 20001520 its reverse (2510002), we get a palindrome (22511522).

The spelling of 20001520 in words is "twenty million, one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 191 220 238 272 280 308 340 374 382 385 440 476 560 595 616 680 748 764 770 880 935 952 955 1190 1232 1309 1337 1360 1496 1528 1540 1870 1904 1910 2101 2380 2618 2674 2992 3056 3080 3247 3740 3820 4202 4760 5236 5348 6160 6494 6545 6685 7480 7640 8404 9520 10472 10505 10696 12988 13090 13370 14707 14960 15280 16235 16808 20944 21010 21392 22729 25976 26180 26740 29414 32470 33616 35717 42020 45458 51952 52360 53480 58828 64940 71434 73535 84040 90916 104720 106960 113645 117656 129880 142868 147070 168080 178585 181832 227290 235312 250019 259760 285736 294140 357170 363664 454580 500038 571472 588280 714340 909160 1000076 1176560 1250095 1428680 1818320 2000152 2500190 2857360 4000304 5000380 10000760 20001520