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1047023328 = 253131635147
BaseRepresentation
bin111110011010000…
…100111011100000
32200222011021222210
4332122010323200
54121014221303
6251521202120
734642360101
oct7632047340
92628137883
101047023328
1149802113a
12252790340
13138bc2740
149d0ac3a8
1561dbe203
hex3e684ee0

1047023328 has 96 divisors (see below), whose sum is σ = 2978591616. Its totient is φ = 320122368.

The previous prime is 1047023317. The next prime is 1047023333. The reversal of 1047023328 is 8233207401.

1047023328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1047023295 and 1047023304.

It is a congruent number.

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, 200851 + ... + 205997.

It is an arithmetic number, because the mean of its divisors is an integer number (31026996).

Almost surely, 21047023328 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 1047023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489295808).

1047023328 is an abundant number, since it is smaller than the sum of its proper divisors (1931568288).

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

1047023328 is a wasteful number, since it uses less digits than its factorization.

1047023328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1047023328 is about 32357.7398469053. The cubic root of 1047023328 is about 1015.4349783736.

The spelling of 1047023328 in words is "one billion, forty-seven million, twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 163 208 312 326 416 489 624 652 978 1248 1304 1956 2119 2608 3912 4238 5147 5216 6357 7824 8476 10294 12714 15441 15648 16952 20588 25428 30882 33904 41176 50856 61764 66911 67808 82352 101712 123528 133822 164704 200733 203424 247056 267644 401466 494112 535288 802932 838961 1070576 1605864 1677922 2141152 2516883 3211728 3355844 5033766 6423456 6711688 10067532 10906493 13423376 20135064 21812986 26846752 32719479 40270128 43625972 65438958 80540256 87251944 130877916 174503888 261755832 349007776 523511664 1047023328