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1107359328 = 253176011129
BaseRepresentation
bin100001000000000…
…1111011001100000
32212011200200102110
41002000033121200
54231440444303
6301514315320
736304253565
oct10200173140
92764620373
101107359328
115190914a9
1226aa28b40
1314855960a
14a70d686c
156733b703
hex4200f660

1107359328 has 96 divisors (see below), whose sum is σ = 3085659360. Its totient is φ = 346521600.

The previous prime is 1107359321. The next prime is 1107359329. The reversal of 1107359328 is 8239537011.

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

It is a super-2 number, since 2×11073593282 = 2452489362617223168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107359321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980268 + ... + 981396.

It is an arithmetic number, because the mean of its divisors is an integer number (32142285).

Almost surely, 21107359328 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 1107359328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542829680).

1107359328 is an abundant number, since it is smaller than the sum of its proper divisors (1978300032).

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

1107359328 is a wasteful number, since it uses less digits than its factorization.

1107359328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1107359328 is about 33277.0090002091. The cubic root of 1107359328 is about 1034.5770878299.

The spelling of 1107359328 in words is "one billion, one hundred seven million, three hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 601 816 1129 1202 1632 1803 2258 2404 3387 3606 4516 4808 6774 7212 9032 9616 10217 13548 14424 18064 19193 19232 20434 27096 28848 30651 36128 38386 40868 54192 57579 57696 61302 76772 81736 108384 115158 122604 153544 163472 230316 245208 307088 326944 460632 490416 614176 678529 921264 980832 1357058 1842528 2035587 2714116 4071174 5428232 8142348 10856464 11534993 16284696 21712928 23069986 32569392 34604979 46139972 65138784 69209958 92279944 138419916 184559888 276839832 369119776 553679664 1107359328