Search a number
-
+
1054011120 = 24354391713
BaseRepresentation
bin111110110100101…
…110111011110000
32201110022022102220
4332310232323300
54124311323440
6252331041040
735055642501
oct7664567360
92643268386
101054011120
114a0a64178
12254ba0180
1313a49b226
149ddaaba8
15627ee8d0
hex3ed2eef0

1054011120 has 40 divisors (see below), whose sum is σ = 3267435216. Its totient is φ = 281069568.

The previous prime is 1054011113. The next prime is 1054011121. The reversal of 1054011120 is 211104501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10540111202 = 2221878882167308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1054011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195617 + ... + 2196096.

Almost surely, 21054011120 is an apocalyptic number.

1054011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054011120 is an abundant number, since it is smaller than the sum of its proper divisors (2213424096).

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

1054011120 is a wasteful number, since it uses less digits than its factorization.

1054011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391729 (or 4391723 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1054011120 is about 32465.5374204710. The cubic root of 1054011120 is about 1017.6889623234.

Adding to 1054011120 its reverse (211104501), we get a palindrome (1265115621).

The spelling of 1054011120 in words is "one billion, fifty-four million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4391713 8783426 13175139 17566852 21958565 26350278 35133704 43917130 52700556 65875695 70267408 87834260 105401112 131751390 175668520 210802224 263502780 351337040 527005560 1054011120