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1400320400 = 24525716131
BaseRepresentation
bin101001101110111…
…0011000110010000
310121120221122110112
41103131303012100
510331440223100
6350541420452
746462345523
oct12335630620
93546848415
101400320400
11659498496
12330b6a728
1319416156b
14d3d96bba
1582e09b35
hex53773190

1400320400 has 60 divisors (see below), whose sum is σ = 3370711344. Its totient is φ = 559056000.

The previous prime is 1400320399. The next prime is 1400320409. The reversal of 1400320400 is 40230041.

It is not an unprimeable number, because it can be changed into a prime (1400320409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225335 + ... + 231465.

Almost surely, 21400320400 is an apocalyptic number.

1400320400 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 1400320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685355672).

1400320400 is an abundant number, since it is smaller than the sum of its proper divisors (1970390944).

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

1400320400 is a wasteful number, since it uses less digits than its factorization.

1400320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1400320400 is about 37420.8551478985. The cubic root of 1400320400 is about 1118.7742755570.

Adding to 1400320400 its reverse (40230041), we get a palindrome (1440550441).

The spelling of 1400320400 in words is "one billion, four hundred million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 571 1142 2284 2855 4568 5710 6131 9136 11420 12262 14275 22840 24524 28550 30655 45680 49048 57100 61310 98096 114200 122620 153275 228400 245240 306550 490480 613100 1226200 2452400 3500801 7001602 14003204 17504005 28006408 35008010 56012816 70016020 87520025 140032040 175040050 280064080 350080100 700160200 1400320400