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130216944 = 243111361311
BaseRepresentation
bin1111100001011…
…11001111110000
3100002000201001210
413300233033300
5231313420234
620531000120
73140553144
oct760571760
9302021053
10130216944
116755aa10
1237739040
1320c93460
1413419224
15b672be9
hex7c2f3f0

130216944 has 160 divisors (see below), whose sum is σ = 402974208. Its totient is φ = 35712000.

The previous prime is 130216921. The next prime is 130216963. The reversal of 130216944 is 449612031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418549 + ... + 418859.

Almost surely, 2130216944 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 130216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

130216944 is an abundant number, since it is smaller than the sum of its proper divisors (272757264).

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

130216944 is a wasteful number, since it uses less digits than its factorization.

130216944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 130216944 is about 11411.2639089629. The cubic root of 130216944 is about 506.8613387052.

Adding to 130216944 its reverse (449612031), we get a palindrome (579828975).

The spelling of 130216944 in words is "one hundred thirty million, two hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 61 66 78 88 104 122 132 143 156 176 183 208 244 264 286 311 312 366 429 488 528 572 622 624 671 732 793 858 933 976 1144 1244 1342 1464 1586 1716 1866 2013 2288 2379 2488 2684 2928 3172 3421 3432 3732 4026 4043 4758 4976 5368 6344 6842 6864 7464 8052 8086 8723 9516 10263 10736 12129 12688 13684 14928 16104 16172 17446 18971 19032 20526 24258 26169 27368 32208 32344 34892 37942 38064 41052 44473 48516 52338 54736 56913 64688 69784 75884 82104 88946 97032 104676 113826 133419 139568 151768 164208 177892 194064 208681 209352 227652 246623 266838 303536 355784 417362 418704 455304 493246 533676 626043 711568 739869 834724 910608 986492 1067352 1252086 1479738 1669448 1972984 2134704 2504172 2712853 2959476 3338896 3945968 5008344 5425706 5918952 8138559 10016688 10851412 11837904 16277118 21702824 32554236 43405648 65108472 130216944