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1130364928 = 2217211
BaseRepresentation
bin100001101100000…
…0000000000000000
32220202222111011201
41003120000000000
54303333134203
6304055350544
740003641400
oct10330000000
92822874151
101130364928
115300749a0
12276682454
13150252ab4
14aa1a4800
1569382e1d
hex43600000

1130364928 has 132 divisors (see below), whose sum is σ = 2868903252. Its totient is φ = 440401920.

The previous prime is 1130364919. The next prime is 1130364941. The reversal of 1130364928 is 8294630311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102760443 + ... + 102760453.

Almost surely, 21130364928 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 1130364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434451626).

1130364928 is an abundant number, since it is smaller than the sum of its proper divisors (1738538324).

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

1130364928 is an frugal number, since it uses more digits than its factorization.

1130364928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1130364928 is about 33620.9001664143. The cubic root of 1130364928 is about 1041.6925496829.

The spelling of 1130364928 in words is "one billion, one hundred thirty million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1024 1078 1232 1408 1568 1792 2048 2156 2464 2816 3136 3584 4096 4312 4928 5632 6272 7168 8192 8624 9856 11264 12544 14336 16384 17248 19712 22528 25088 28672 32768 34496 39424 45056 50176 57344 65536 68992 78848 90112 100352 114688 131072 137984 157696 180224 200704 229376 262144 275968 315392 360448 401408 458752 524288 551936 630784 720896 802816 917504 1048576 1103872 1261568 1441792 1605632 1835008 2097152 2207744 2523136 2883584 3211264 3670016 4415488 5046272 5767168 6422528 7340032 8830976 10092544 11534336 12845056 14680064 17661952 20185088 23068672 25690112 35323904 40370176 51380224 70647808 80740352 102760448 141295616 161480704 282591232 565182464 1130364928