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1054542140 = 225411319817
BaseRepresentation
bin111110110110110…
…000100100111100
32201111022021212022
4332312300210330
54124430322030
6252350255312
735063313611
oct7666604474
92644267768
101054542140
114a1297133
122551b7538
1313a625b42
14a00a8508
15628a6de5
hex3edb093c

1054542140 has 48 divisors (see below), whose sum is σ = 2286101664. Its totient is φ = 408345600.

The previous prime is 1054542131. The next prime is 1054542169. The reversal of 1054542140 is 412454501.

It is a super-2 number, since 2×10545421402 = 2224118250071559200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102512 + ... + 112328.

It is an arithmetic number, because the mean of its divisors is an integer number (47627118).

Almost surely, 21054542140 is an apocalyptic number.

1054542140 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 1054542140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143050832).

1054542140 is an abundant number, since it is smaller than the sum of its proper divisors (1231559524).

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

1054542140 is a wasteful number, since it uses less digits than its factorization.

1054542140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9996 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 1054542140 is about 32473.7146011971. The cubic root of 1054542140 is about 1017.8598404900.

Adding to 1054542140 its reverse (412454501), we get a palindrome (1466996641).

The spelling of 1054542140 in words is "one billion, fifty-four million, five hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 1310 2620 5371 9817 10742 19634 21484 26855 39268 49085 53710 98170 107420 196340 402497 804994 1286027 1609988 2012485 2572054 4024970 5144108 6430135 8049940 12860270 25720540 52727107 105454214 210908428 263635535 527271070 1054542140