Search a number
-
+
1960303104 = 29323113723
BaseRepresentation
bin111010011010111…
…1101101000000000
312001121122201022200
41310311331220000
513003314144404
6522304033200
766402205254
oct16465755000
95047581280
101960303104
119165a3811
12468602800
13253188786
141484c4264
15b7170839
hex74d7da00

1960303104 has 120 divisors (see below), whose sum is σ = 5840495232. Its totient is φ = 632309760.

The previous prime is 1960303063. The next prime is 1960303109. The reversal of 1960303104 is 4013030691.

It is not an unprimeable number, because it can be changed into a prime (1960303109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135987 + ... + 149709.

Almost surely, 21960303104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920247616).

1960303104 is an abundant number, since it is smaller than the sum of its proper divisors (3880192128).

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

1960303104 is a wasteful number, since it uses less digits than its factorization.

1960303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778 (or 13759 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1960303104 is about 44275.3103207646. The cubic root of 1960303104 is about 1251.5294566998.

Adding to 1960303104 its reverse (4013030691), we get a palindrome (5973333795).

The spelling of 1960303104 in words is "one billion, nine hundred sixty million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 13723 15872 17856 23808 27446 35712 41169 47616 54892 71424 82338 109784 123507 142848 164676 219568 247014 329352 425413 439136 494028 658704 850826 878272 988056 1276239 1317408 1701652 1756544 1976112 2552478 2634816 3403304 3513088 3828717 3952224 5104956 5269632 6806608 7026176 7657434 7904448 10209912 10539264 13613216 15314868 15808896 20419824 21078528 27226432 30629736 31617792 40839648 54452864 61259472 63235584 81679296 108905728 122518944 163358592 217811456 245037888 326717184 490075776 653434368 980151552 1960303104