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1074400000 = 28551779
BaseRepresentation
bin100000000001010…
…0000101100000000
32202212200011201121
41000002200230000
54200021300000
6254340042024
735424151342
oct10002405400
92685604647
101074400000
1150151a693
1225b993314
1314178965b
14a2997292
15644cab1a
hex400a0b00

1074400000 has 216 divisors, whose sum is σ = 2874191040. Its totient is φ = 399360000.

The previous prime is 1074399961. The next prime is 1074400001. The reversal of 1074400000 is 44701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1074400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13599961 + ... + 13600039.

It is an arithmetic number, because the mean of its divisors is an integer number (13306440).

Almost surely, 21074400000 is an apocalyptic number.

1074400000 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 1074400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437095520).

1074400000 is an abundant number, since it is smaller than the sum of its proper divisors (1799791040).

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

1074400000 is an frugal number, since it uses more digits than its factorization.

1074400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1074400000 is about 32778.0414302014. The cubic root of 1074400000 is about 1024.2091857796.

Adding to 1074400000 its reverse (44701), we get a palindrome (1074444701).

The spelling of 1074400000 in words is "one billion, seventy-four million, four hundred thousand".