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1074065000 = 23541131901
BaseRepresentation
bin100000000000100…
…1110111001101000
32202212001011012012
41000001032321220
54144430040000
6254324535052
735421254561
oct10001167150
92685034165
101074065000
11501310a28
1225b851488
131416a0028
14a290b168
1564461735
hex4004ee68

1074065000 has 80 divisors (see below), whose sum is σ = 2540140020. Its totient is φ = 425600000.

The previous prime is 1074064951. The next prime is 1074065033. The reversal of 1074065000 is 5604701.

It can be written as a sum of positive squares in 10 ways, for example, as 612760516 + 461304484 = 24754^2 + 21478^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564050 + ... + 565950.

Almost surely, 21074065000 is an apocalyptic number.

1074065000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270070010).

1074065000 is an abundant number, since it is smaller than the sum of its proper divisors (1466075020).

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

1074065000 is a wasteful number, since it uses less digits than its factorization.

1074065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 1074065000 is about 32772.9309034148. The cubic root of 1074065000 is about 1024.1027245783.

Adding to 1074065000 its reverse (5604701), we get a palindrome (1079669701).

The spelling of 1074065000 in words is "one billion, seventy-four million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 625 904 1000 1130 1250 1901 2260 2500 2825 3802 4520 5000 5650 7604 9505 11300 14125 15208 19010 22600 28250 38020 47525 56500 70625 76040 95050 113000 141250 190100 214813 237625 282500 380200 429626 475250 565000 859252 950500 1074065 1188125 1718504 1901000 2148130 2376250 4296260 4752500 5370325 8592520 9505000 10740650 21481300 26851625 42962600 53703250 107406500 134258125 214813000 268516250 537032500 1074065000