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2001244520 = 2351119123813
BaseRepresentation
bin111011101001000…
…1001000101101000
312011110200202101102
41313102021011220
513044304311040
6530325340532
7100410204062
oct16722110550
95143622342
102001244520
119377176a0
1247a267748
1325b7c1972
1414db00732
15baa5b515
hex77489168

2001244520 has 64 divisors (see below), whose sum is σ = 4938071040. Its totient is φ = 723884800.

The previous prime is 2001244517. The next prime is 2001244561. The reversal of 2001244520 is 254421002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2001244492 and 2001244501.

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, 72134 + ... + 95946.

It is an arithmetic number, because the mean of its divisors is an integer number (77157360).

Almost surely, 22001244520 is an apocalyptic number.

2001244520 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 2001244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469035520).

2001244520 is an abundant number, since it is smaller than the sum of its proper divisors (2936826520).

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

2001244520 is a wasteful number, since it uses less digits than its factorization.

2001244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24026 (or 24022 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2001244520 is about 44735.2715427100. The cubic root of 2001244520 is about 1260.1823285321.

Adding to 2001244520 its reverse (254421002), we get a palindrome (2255665522).

The spelling of 2001244520 in words is "two billion, one million, two hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 382 440 764 955 1528 1910 2101 3820 4202 7640 8404 10505 16808 21010 23813 42020 47626 84040 95252 119065 190504 238130 261943 476260 523886 952520 1047772 1309715 2095544 2619430 4548283 5238860 9096566 10477720 18193132 22741415 36386264 45482830 50031113 90965660 100062226 181931320 200124452 250155565 400248904 500311130 1000622260 2001244520