Search a number
-
+
1054515372 = 2231746111213
BaseRepresentation
bin111110110110101…
…010000010101100
32201111020221010220
4332312222002230
54124423442442
6252345531340
735063142561
oct7666520254
92644227126
101054515372
114a1279009
122551a3b50
1313a6168c1
14a009c868
156289deec
hex3edaa0ac

1054515372 has 48 divisors (see below), whose sum is σ = 2611157472. Its totient is φ = 330081280.

The previous prime is 1054515349. The next prime is 1054515403. The reversal of 1054515372 is 2735154501.

It is a super-2 number, since 2×10545153722 = 2224005339568596768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88438 + ... + 99650.

It is an arithmetic number, because the mean of its divisors is an integer number (54399114).

Almost surely, 21054515372 is an apocalyptic number.

1054515372 is a gapful number since it is divisible by the number (12) 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 1054515372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305578736).

1054515372 is an abundant number, since it is smaller than the sum of its proper divisors (1556642100).

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

1054515372 is a wasteful number, since it uses less digits than its factorization.

1054515372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11698 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 1054515372 is about 32473.3024498587. The cubic root of 1054515372 is about 1017.8512281259.

Adding to 1054515372 its reverse (2735154501), we get a palindrome (3789669873).

The spelling of 1054515372 in words is "one billion, fifty-four million, five hundred fifteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 461 922 1383 1844 2766 5532 7837 11213 15674 22426 23511 31348 33639 44852 47022 67278 94044 134556 190621 381242 571863 762484 1143726 2287452 5169193 10338386 15507579 20676772 31015158 62030316 87876281 175752562 263628843 351505124 527257686 1054515372