Search a number
-
+
1000630152 = 233329315153
BaseRepresentation
bin111011101001000…
…110011110001000
32120201212021112000
4323221012132020
54022130131102
6243142551000
733540134034
oct7351063610
92521767460
101000630152
11473914275
1223b138460
1312c3cac62
1496c731c4
155cca801c
hex3ba46788

1000630152 has 128 divisors (see below), whose sum is σ = 2968704000. Its totient is φ = 311592960.

The previous prime is 1000630151. The next prime is 1000630171. The reversal of 1000630152 is 2510360001.

1000630152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1000630151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191608 + ... + 196760.

It is an arithmetic number, because the mean of its divisors is an integer number (23193000).

Almost surely, 21000630152 is an apocalyptic number.

1000630152 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 1000630152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484352000).

1000630152 is an abundant number, since it is smaller than the sum of its proper divisors (1968073848).

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

1000630152 is a wasteful number, since it uses less digits than its factorization.

1000630152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1000630152 is about 31632.7386104966. The cubic root of 1000630152 is about 1000.2100065608.

Adding to 1000630152 its reverse (2510360001), we get a palindrome (3510990153).

The spelling of 1000630152 in words is "one billion, six hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2697 3132 3348 3596 5153 5394 6264 6696 7192 8091 10306 10788 15459 16182 20612 21576 24273 30918 32364 41224 46377 48546 61836 64728 92754 97092 123672 139131 149437 159743 185508 194184 278262 298874 319486 371016 448311 479229 556524 597748 638972 896622 958458 1113048 1195496 1277944 1344933 1437687 1793244 1916916 2689866 2875374 3586488 3833832 4034799 4313061 4632547 5379732 5750748 8069598 8626122 9265094 10759464 11501496 13897641 16139196 17252244 18530188 27795282 32278392 34504488 37060376 41692923 55590564 83385846 111181128 125078769 166771692 250157538 333543384 500315076 1000630152