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2412835540 = 225120641777
BaseRepresentation
bin1000111111010000…
…1111001011010100
320020011011202010021
42033310033023110
514420141214130
61035231234524
7113535522643
oct21764171324
96204152107
102412835540
111028a8a065
12574078a44
132c5b6104b
1418c64135a
15e1c5e37a
hex8fd0f2d4

2412835540 has 12 divisors (see below), whose sum is σ = 5066954676. Its totient is φ = 965134208.

The previous prime is 2412835519. The next prime is 2412835543. The reversal of 2412835540 is 455382142.

It can be written as a sum of positive squares in 2 ways, for example, as 1219685776 + 1193149764 = 34924^2 + 34542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2412835496 and 2412835505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412835543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60320869 + ... + 60320908.

It is an arithmetic number, because the mean of its divisors is an integer number (422246223).

Almost surely, 22412835540 is an apocalyptic number.

2412835540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412835540 is an abundant number, since it is smaller than the sum of its proper divisors (2654119136).

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

2412835540 is a wasteful number, since it uses less digits than its factorization.

2412835540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120641786 (or 120641784 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2412835540 is about 49120.6223494776. The cubic root of 2412835540 is about 1341.2484725895.

The spelling of 2412835540 in words is "two billion, four hundred twelve million, eight hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 120641777 241283554 482567108 603208885 1206417770 2412835540