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1052667330 = 2351121322307
BaseRepresentation
bin111110101111100…
…110110111000010
32201100210001002220
4332233212313002
54123440323310
6252242151510
735041344651
oct7657466702
92640701086
101052667330
114a0226600
12254652596
1313a11a6a0
149db3b198
1562636670
hex3ebe6dc2

1052667330 has 96 divisors (see below), whose sum is σ = 2990699712. Its totient is φ = 235551360.

The previous prime is 1052667323. The next prime is 1052667331. The reversal of 1052667330 is 337662501.

It is a super-2 number, since 2×10526673302 = 2216217015298657800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1052667291 and 1052667300.

It is not an unprimeable number, because it can be changed into a prime (1052667331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36037 + ... + 58343.

It is an arithmetic number, because the mean of its divisors is an integer number (31153122).

Almost surely, 21052667330 is an apocalyptic number.

1052667330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052667330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495349856).

1052667330 is an abundant number, since it is smaller than the sum of its proper divisors (1938032382).

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

1052667330 is a wasteful number, since it uses less digits than its factorization.

1052667330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22352 (or 22341 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 1052667330 is about 32444.8351821981. The cubic root of 1052667330 is about 1017.2562844583.

The spelling of 1052667330 in words is "one billion, fifty-two million, six hundred sixty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4719 7865 9438 15730 22307 23595 44614 47190 66921 111535 133842 223070 245377 289991 334605 490754 579982 669210 736131 869973 1226885 1449955 1472262 1739946 2453770 2699147 2899910 3189901 3680655 4349865 5398294 6379802 7361310 8097441 8699730 9569703 13495735 15949505 16194882 19139406 26991470 31899010 35088911 40487205 47848515 70177822 80974410 95697030 105266733 175444555 210533466 350889110 526333665 1052667330