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1400090384 = 247111736569
BaseRepresentation
bin101001101110011…
…1010111100010000
310121120111221221102
41103130322330100
510331410343014
6350532443532
746460400110
oct12334727420
93546457842
101400090384
116593506a0
12330a795a8
131940b0964
14d3d37040
1582db18de
hex5373af10

1400090384 has 80 divisors (see below), whose sum is σ = 3402103680. Its totient is φ = 542254080.

The previous prime is 1400090371. The next prime is 1400090389. The reversal of 1400090384 is 4830900041.

It is not an unprimeable number, because it can be changed into a prime (1400090389) 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, 209852 + ... + 216420.

It is an arithmetic number, because the mean of its divisors is an integer number (42526296).

Almost surely, 21400090384 is an apocalyptic number.

1400090384 is a gapful number since it is divisible by the number (14) 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 1400090384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701051840).

1400090384 is an abundant number, since it is smaller than the sum of its proper divisors (2002013296).

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

1400090384 is a wasteful number, since it uses less digits than its factorization.

1400090384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1400090384 is about 37417.7816552505. The cubic root of 1400090384 is about 1118.7130157494.

The spelling of 1400090384 in words is "one billion, four hundred million, ninety thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 173 176 308 346 616 692 1211 1232 1384 1903 2422 2768 3806 4844 6569 7612 9688 13138 13321 15224 19376 26276 26642 30448 45983 52552 53284 72259 91966 105104 106568 144518 183932 213136 289036 367864 505813 578072 735728 1011626 1136437 1156144 2023252 2272874 4046504 4545748 7955059 8093008 9091496 12500807 15910118 18182992 25001614 31820236 50003228 63640472 87505649 100006456 127280944 175011298 200012912 350022596 700045192 1400090384