Search a number
-
+
1051306146 = 2321117312331
BaseRepresentation
bin111110101010011…
…010100010100010
32201021012212220200
4332222122202202
54123113244041
6252153050030
735023645332
oct7652324242
92637185820
101051306146
1149a486960
122540b6916
13139a61c57
149d8a50c2
15624681b6
hex3ea9a8a2

1051306146 has 48 divisors (see below), whose sum is σ = 2631084768. Its totient is φ = 299836800.

The previous prime is 1051306141. The next prime is 1051306171. The reversal of 1051306146 is 6416031501.

1051306146 is a `hidden beast` number, since 1 + 0 + 513 + 0 + 6 + 146 = 666.

1051306146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10513061462 = 2210489225234746632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051306141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152800 + ... + 159531.

It is an arithmetic number, because the mean of its divisors is an integer number (54814266).

Almost surely, 21051306146 is an apocalyptic number.

1051306146 is an abundant number, since it is smaller than the sum of its proper divisors (1579778622).

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

1051306146 is a wasteful number, since it uses less digits than its factorization.

1051306146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312367 (or 312364 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1051306146 is about 32423.8514985496. The cubic root of 1051306146 is about 1016.8176304476.

Adding to 1051306146 its reverse (6416031501), we get a palindrome (7467337647).

The spelling of 1051306146 in words is "one billion, fifty-one million, three hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 312331 624662 936993 1873986 2810979 3435641 5309627 5621958 6871282 10306923 10619254 15928881 20613846 30920769 31857762 47786643 58405897 61841538 95573286 116811794 175217691 350435382 525653073 1051306146