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6040871460 = 22345131747359
BaseRepresentation
bin1011010000001000…
…00110001000100100
3120120222222001210000
411220010012020210
544332430341320
62435232501300
7302461363101
oct55004061044
916528861700
106040871460
11261aa07158
1212070aa830
137536a9170
1441440baa8
1525550cc90
hex168106224

6040871460 has 480 divisors, whose sum is σ = 22129873920. Its totient is φ = 1365921792.

The previous prime is 6040871453. The next prime is 6040871483. The reversal of 6040871460 is 641780406.

6040871460 is a `hidden beast` number, since 604 + 0 + 8 + 7 + 1 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16826761 + ... + 16827119.

It is an arithmetic number, because the mean of its divisors is an integer number (46103904).

Almost surely, 26040871460 is an apocalyptic number.

6040871460 is a gapful number since it is divisible by the number (60) 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 6040871460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064936960).

6040871460 is an abundant number, since it is smaller than the sum of its proper divisors (16089002460).

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

6040871460 is a wasteful number, since it uses less digits than its factorization.

6040871460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6040871460 is about 77723.0433011986. The cubic root of 6040871460 is about 1821.2372800788.

The spelling of 6040871460 in words is "six billion, forty million, eight hundred seventy-one thousand, four hundred sixty".