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1054320540 = 2235713316229
BaseRepresentation
bin111110110101111…
…010011110011100
32201110220000212220
4332311322132130
54124401224130
6252341425340
735061401550
oct7665723634
92643800786
101054320540
114a1155699
1225510b250
1313a579010
14a004b860
1562861410
hex3ed7a79c

1054320540 has 192 divisors, whose sum is σ = 3751157760. Its totient is φ = 215239680.

The previous prime is 1054320503. The next prime is 1054320551. The reversal of 1054320540 is 450234501.

It is a super-2 number, since 2×10543205402 = 2223183602131783200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054320540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166146 + ... + 172374.

It is an arithmetic number, because the mean of its divisors is an integer number (19537280).

Almost surely, 21054320540 is an apocalyptic number.

1054320540 is a gapful number since it is divisible by the number (10) 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 1054320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875578880).

1054320540 is an abundant number, since it is smaller than the sum of its proper divisors (2696837220).

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

1054320540 is a wasteful number, since it uses less digits than its factorization.

1054320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1054320540 is about 32470.3024316066. The cubic root of 1054320540 is about 1017.7885382842.

The spelling of 1054320540 in words is "one billion, fifty-four million, three hundred twenty thousand, five hundred forty".