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1054630460 = 2251324116831
BaseRepresentation
bin111110110111000…
…110001000111100
32201111110210000102
4332313012020330
54124441133320
6252352220232
735064132242
oct7667061074
92644423012
101054630460
114a1347524
1225523a678
1313a6570c0
14a00cc792
15628c3175
hex3edc623c

1054630460 has 48 divisors (see below), whose sum is σ = 2395126272. Its totient is φ = 387763200.

The previous prime is 1054630459. The next prime is 1054630471. The reversal of 1054630460 is 640364501.

It is a happy number.

It is a super-2 number, since 2×10546304602 = 2224490814319623200, 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, 54245 + ... + 71075.

It is an arithmetic number, because the mean of its divisors is an integer number (49898464).

Almost surely, 21054630460 is an apocalyptic number.

1054630460 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 1054630460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197563136).

1054630460 is an abundant number, since it is smaller than the sum of its proper divisors (1340495812).

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

1054630460 is a wasteful number, since it uses less digits than its factorization.

1054630460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094 (or 17092 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1054630460 is about 32475.0744417930. The cubic root of 1054630460 is about 1017.8882556249. Note that the first 3 decimals are identical.

Adding to 1054630460 its reverse (640364501), we get a palindrome (1694994961).

The spelling of 1054630460 in words is "one billion, fifty-four million, six hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2410 3133 4820 6266 12532 15665 16831 31330 33662 62660 67324 84155 168310 218803 336620 437606 875212 1094015 2188030 4056271 4376060 8112542 16225084 20281355 40562710 52731523 81125420 105463046 210926092 263657615 527315230 1054630460