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1400461220 = 22570023061
BaseRepresentation
bin101001101111001…
…0101011110100100
310121121012210122002
41103132111132210
510332004224340
6350544424432
746463503214
oct12336253644
93547183562
101400461220
11659584274
12331018118
131941b06a2
14d3dd2244
1582e36715
hex537957a4

1400461220 has 12 divisors (see below), whose sum is σ = 2940968604. Its totient is φ = 560184480.

The previous prime is 1400461219. The next prime is 1400461333. The reversal of 1400461220 is 221640041.

It can be written as a sum of positive squares in 2 ways, for example, as 407959204 + 992502016 = 20198^2 + 31504^2 .

It is a super-2 number, since 2×14004612202 = 3922583257447776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 70023061 = 1400461220 / (1 + 4 + 0 + 0 + 4 + 6 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1400461192 and 1400461201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35011511 + ... + 35011550.

It is an arithmetic number, because the mean of its divisors is an integer number (245080717).

Almost surely, 21400461220 is an apocalyptic number.

1400461220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400461220 is an abundant number, since it is smaller than the sum of its proper divisors (1540507384).

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

1400461220 is a wasteful number, since it uses less digits than its factorization.

1400461220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70023070 (or 70023068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1400461220 is about 37422.7366717080. The cubic root of 1400461220 is about 1118.8117766205.

The spelling of 1400461220 in words is "one billion, four hundred million, four hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 70023061 140046122 280092244 350115305 700230610 1400461220