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1117028352 = 2153111033
BaseRepresentation
bin100001010010100…
…1000000000000000
32212211212220211110
41002211020000000
54241424401402
6302501443320
736452404266
oct10245100000
92784786743
101117028352
11523595a30
12272110540
1314a56362b
14a84d2436
15680eb56c
hex42948000

1117028352 has 128 divisors (see below), whose sum is σ = 3252633120. Its totient is φ = 338165760.

The previous prime is 1117028347. The next prime is 1117028383. The reversal of 1117028352 is 2538207111.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080828 + ... + 1081860.

Almost surely, 21117028352 is an apocalyptic number.

1117028352 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 1117028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626316560).

1117028352 is an abundant number, since it is smaller than the sum of its proper divisors (2135604768).

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

1117028352 is an equidigital number, since it uses as much as digits as its factorization.

1117028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1117028352 is about 33421.9740889134. The cubic root of 1117028352 is about 1037.5795387223.

The spelling of 1117028352 in words is "one billion, one hundred seventeen million, twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1033 1056 1408 1536 2048 2066 2112 2816 3072 3099 4096 4132 4224 5632 6144 6198 8192 8264 8448 11264 11363 12288 12396 16384 16528 16896 22528 22726 24576 24792 32768 33056 33792 34089 45056 45452 49152 49584 66112 67584 68178 90112 90904 98304 99168 132224 135168 136356 180224 181808 198336 264448 270336 272712 360448 363616 396672 528896 540672 545424 727232 793344 1057792 1081344 1090848 1454464 1586688 2115584 2181696 2908928 3173376 4231168 4363392 5817856 6346752 8462336 8726784 11635712 12693504 16924672 17453568 23271424 25387008 33849344 34907136 46542848 50774016 69814272 93085696 101548032 139628544 186171392 279257088 372342784 558514176 1117028352