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1074067104 = 253117313933
BaseRepresentation
bin100000000000100…
…1111011010100000
32202212001021002010
41000001033122200
54144430121404
6254324552520
735421263655
oct10001173240
92685037063
101074067104
11501312570
1225b852740
131416a0c86
14a290bc2c
1564462189
hex4004f6a0

1074067104 has 96 divisors (see below), whose sum is σ = 3118094784. Its totient is φ = 320993280.

The previous prime is 1074067097. The next prime is 1074067121. The reversal of 1074067104 is 4017604701.

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

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, 70122 + ... + 84054.

It is an arithmetic number, because the mean of its divisors is an integer number (32480154).

Almost surely, 21074067104 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 1074067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559047392).

1074067104 is an abundant number, since it is smaller than the sum of its proper divisors (2044027680).

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

1074067104 is a wasteful number, since it uses less digits than its factorization.

1074067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1074067104 is about 32772.9630030609. The cubic root of 1074067104 is about 1024.1033932872.

The spelling of 1074067104 in words is "one billion, seventy-four million, sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 803 876 1056 1168 1606 1752 2336 2409 3212 3504 4818 6424 7008 9636 12848 13933 19272 25696 27866 38544 41799 55732 77088 83598 111464 153263 167196 222928 306526 334392 445856 459789 613052 668784 919578 1017109 1226104 1337568 1839156 2034218 2452208 3051327 3678312 4068436 4904416 6102654 7356624 8136872 11188199 12205308 14713248 16273744 22376398 24410616 32547488 33564597 44752796 48821232 67129194 89505592 97642464 134258388 179011184 268516776 358022368 537033552 1074067104