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2042161520 = 24573646717
BaseRepresentation
bin111100110111000…
…1110100101110000
312021022200112221212
41321232032211300
513140243132040
6534350335252
7101415041450
oct17156164560
95238615855
102042161520
119588241a3
1248baba528
132671199c9
14155311d60
15be43ed65
hex79b8e970

2042161520 has 40 divisors (see below), whose sum is σ = 5426316384. Its totient is φ = 700169472.

The previous prime is 2042161507. The next prime is 2042161523. The reversal of 2042161520 is 251612402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042161523) 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 7 ways as a sum of consecutive naturals, for example, 1822799 + ... + 1823918.

Almost surely, 22042161520 is an apocalyptic number.

2042161520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042161520 is an abundant number, since it is smaller than the sum of its proper divisors (3384154864).

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

2042161520 is a wasteful number, since it uses less digits than its factorization.

2042161520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646737 (or 3646731 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2042161520 is about 45190.2812560400. The cubic root of 2042161520 is about 1268.7129209480.

Adding to 2042161520 its reverse (251612402), we get a palindrome (2293773922).

The spelling of 2042161520 in words is "two billion, forty-two million, one hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3646717 7293434 14586868 18233585 25527019 29173736 36467170 51054038 58347472 72934340 102108076 127635095 145868680 204216152 255270190 291737360 408432304 510540380 1021080760 2042161520