Search a number
-
+
1054021248 = 2735747103
BaseRepresentation
bin111110110100110…
…001011010000000
32201110022211100000
4332310301122000
54124312134443
6252331200000
735056014150
oct7664613200
92643284300
101054021248
114a0a70845
12254ba6000
1313a4a2a17
149ddb0760
15628028d3
hex3ed31680

1054021248 has 384 divisors, whose sum is σ = 3706859520. Its totient is φ = 291879936.

The previous prime is 1054021237. The next prime is 1054021259. The reversal of 1054021248 is 8421204501.

1054021248 is a `hidden beast` number, since 10 + 5 + 402 + 1 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (1054021237) and next prime (1054021259).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10540212482 = 2221921582470955008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10233165 + ... + 10233267.

It is an arithmetic number, because the mean of its divisors is an integer number (9653280).

Almost surely, 21054021248 is an apocalyptic number.

1054021248 is a gapful number since it is divisible by the number (18) 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 1054021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853429760).

1054021248 is an abundant number, since it is smaller than the sum of its proper divisors (2652838272).

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

1054021248 is an equidigital number, since it uses as much as digits as its factorization.

1054021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1054021248 is about 32465.6934008809. The cubic root of 1054021248 is about 1017.6922219730.

Adding to 1054021248 its reverse (8421204501), we get a palindrome (9475225749).

The spelling of 1054021248 in words is "one billion, fifty-four million, twenty-one thousand, two hundred forty-eight".