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536760420 = 2235729127347
BaseRepresentation
bin11111111111100…
…101000001100100
31101102000020212120
4133333211001210
52044402313140
6125132345540
716205250120
oct3777450144
91342006776
10536760420
11255a95059
1212b9152b0
1387286221
1451404580
15321ca1d0
hex1ffe5064

536760420 has 192 divisors, whose sum is σ = 1796014080. Its totient is φ = 117186048.

The previous prime is 536760409. The next prime is 536760437. The reversal of 536760420 is 24067635.

It is a super-2 number, since 2×5367604202 = 576223496957152800, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1546687 + ... + 1547033.

It is an arithmetic number, because the mean of its divisors is an integer number (9354240).

Almost surely, 2536760420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536760420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898007040).

536760420 is an abundant number, since it is smaller than the sum of its proper divisors (1259253660).

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

536760420 is a wasteful number, since it uses less digits than its factorization.

536760420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 536760420 is about 23168.0905557623. The cubic root of 536760420 is about 812.6935781761.

The spelling of 536760420 in words is "five hundred thirty-six million, seven hundred sixty thousand, four hundred twenty".