Search a number
-
+
1054052307 = 327114313529
BaseRepresentation
bin111110110100111…
…000111111010011
32201110101101221100
4332310320333103
54124314133212
6252331555443
735056203540
oct7664707723
92643341840
101054052307
114a0a92110
12254bbbb83
1313a4b3bb9
149ddbbbc7
156280bbdc
hex3ed38fd3

1054052307 has 48 divisors (see below), whose sum is σ = 1903150080. Its totient is φ = 546134400.

The previous prime is 1054052291. The next prime is 1054052317. The reversal of 1054052307 is 7032504501.

It is a happy number.

It is not a de Polignac number, because 1054052307 - 24 = 1054052291 is a prime.

It is a super-2 number, since 2×10540523072 = 2222052531784044498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054052317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296919 + ... + 300447.

It is an arithmetic number, because the mean of its divisors is an integer number (39648960).

Almost surely, 21054052307 is an apocalyptic number.

1054052307 is a deficient number, since it is larger than the sum of its proper divisors (849097773).

1054052307 is a wasteful number, since it uses less digits than its factorization.

1054052307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1054052307 is about 32466.1717330516. The cubic root of 1054052307 is about 1017.7022180373.

Adding to 1054052307 its reverse (7032504501), we get a palindrome (8086556808).

The spelling of 1054052307 in words is "one billion, fifty-four million, fifty-two thousand, three hundred seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 431 693 1293 3017 3529 3879 4741 9051 10587 14223 24703 27153 31761 33187 38819 42669 74109 99561 116457 222327 271733 298683 349371 815199 1520999 2445597 4562997 10646993 13688991 16730989 31940979 50192967 95822937 117116923 150578901 351350769 1054052307