Search a number
-
+
1230115328 = 29131971137
BaseRepresentation
bin100100101010010…
…0001001000000000
310011201200022222222
41021110201020000
510004402142303
6322021350212
742324544031
oct11124411000
93151608888
101230115328
11581405942
122a3b68368
13167b09ac0
14b952ca88
1572ed8938
hex49521200

1230115328 has 160 divisors (see below), whose sum is σ = 2846067840. Its totient is φ = 526417920.

The previous prime is 1230115273. The next prime is 1230115363. The reversal of 1230115328 is 8235110321.

It is a Cunningham number, because it is equal to 350732-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1230115297 and 1230115306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8978876 + ... + 8979012.

It is an arithmetic number, because the mean of its divisors is an integer number (17787924).

Almost surely, 21230115328 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 1230115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423033920).

1230115328 is an abundant number, since it is smaller than the sum of its proper divisors (1615952512).

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

1230115328 is a wasteful number, since it uses less digits than its factorization.

1230115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1230115328 is about 35072.9999857440. Note that the first 4 decimals coincide. The cubic root of 1230115328 is about 1071.4747556845.

1230115328 divided by its sum of digits (26) gives a triangular number (47312128 = T9727).

Adding to 1230115328 its reverse (8235110321), we get a palindrome (9465225649).

The spelling of 1230115328 in words is "one billion, two hundred thirty million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 71 76 104 128 137 142 152 208 247 256 274 284 304 416 494 512 548 568 608 832 923 988 1096 1136 1216 1349 1664 1781 1846 1976 2192 2272 2432 2603 2698 3328 3562 3692 3952 4384 4544 4864 5206 5396 6656 7124 7384 7904 8768 9088 9727 9728 10412 10792 14248 14768 15808 17536 17537 18176 19454 20824 21584 28496 29536 31616 33839 35072 35074 36352 38908 41648 43168 56992 59072 63232 67678 70144 70148 77816 83296 86336 113984 118144 126451 126464 135356 140296 155632 166592 172672 184813 227968 236288 252902 270712 280592 311264 333184 345344 369626 455936 472576 505804 541424 561184 622528 666368 690688 739252 911872 1011608 1082848 1122368 1245056 1332736 1478504 2023216 2165696 2244736 2402569 2490112 2957008 4046432 4331392 4489472 4805138 4980224 5914016 8092864 8662784 8978944 9610276 11828032 16185728 17325568 19220552 23656064 32371456 38441104 47312128 64742912 76882208 94624256 153764416 307528832 615057664 1230115328