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2001137420 = 225313227641
BaseRepresentation
bin111011101000110…
…1110111100001100
312011110111022110202
41313101232330030
513044242344140
6530323153032
7100406246612
oct16721567414
95143438422
102001137420
11937654187
1247a215778
1325b784ca9
1414dab36b2
15baa39915
hex7746ef0c

2001137420 has 24 divisors (see below), whose sum is σ = 4337950848. Its totient is φ = 774633600.

The previous prime is 2001137407. The next prime is 2001137429. The reversal of 2001137420 is 247311002.

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 = 2001137392 and 2001137401.

It is not an unprimeable number, because it can be changed into a prime (2001137429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613201 + ... + 1614440.

It is an arithmetic number, because the mean of its divisors is an integer number (180747952).

Almost surely, 22001137420 is an apocalyptic number.

2001137420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001137420 is an abundant number, since it is smaller than the sum of its proper divisors (2336813428).

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

2001137420 is a wasteful number, since it uses less digits than its factorization.

2001137420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227681 (or 3227679 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2001137420 is about 44734.0744846700. The cubic root of 2001137420 is about 1260.1598478651.

Adding to 2001137420 its reverse (247311002), we get a palindrome (2248448422).

The spelling of 2001137420 in words is "two billion, one million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 3227641 6455282 12910564 16138205 32276410 64552820 100056871 200113742 400227484 500284355 1000568710 2001137420