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1215430656 = 217311281
BaseRepresentation
bin100100001110010…
…0000000000000000
310010201001021102020
41020130200000000
54442122240111
6320334521440
742055663416
oct11034400000
93121037366
101215430656
11574096050
1229b066280
13164a67b4b
14b75c92b6
1571a87906
hex48720000

1215430656 has 144 divisors (see below), whose sum is σ = 3548367648. Its totient is φ = 367001600.

The previous prime is 1215430651. The next prime is 1215430681. The reversal of 1215430656 is 6560345121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215430651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4325236 + ... + 4325516.

It is an arithmetic number, because the mean of its divisors is an integer number (24641442).

Almost surely, 21215430656 is an apocalyptic number.

1215430656 is a gapful number since it is divisible by the number (16) 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 1215430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774183824).

1215430656 is an abundant number, since it is smaller than the sum of its proper divisors (2332936992).

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

1215430656 is an frugal number, since it uses more digits than its factorization.

1215430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1215430656 is about 34863.0270630650. The cubic root of 1215430656 is about 1067.1940503180.

Adding to 1215430656 its reverse (6560345121), we get a palindrome (7775775777).

The spelling of 1215430656 in words is "one billion, two hundred fifteen million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 281 352 384 512 528 562 704 768 843 1024 1056 1124 1408 1536 1686 2048 2112 2248 2816 3072 3091 3372 4096 4224 4496 5632 6144 6182 6744 8192 8448 8992 9273 11264 12288 12364 13488 16384 16896 17984 18546 22528 24576 24728 26976 32768 33792 35968 37092 45056 49152 49456 53952 65536 67584 71936 74184 90112 98304 98912 107904 131072 135168 143872 148368 180224 196608 197824 215808 270336 287744 296736 360448 393216 395648 431616 540672 575488 593472 720896 791296 863232 1081344 1150976 1186944 1441792 1582592 1726464 2162688 2301952 2373888 3165184 3452928 4325376 4603904 4747776 6330368 6905856 9207808 9495552 12660736 13811712 18415616 18991104 25321472 27623424 36831232 37982208 50642944 55246848 75964416 101285888 110493696 151928832 202571776 303857664 405143552 607715328 1215430656