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1400445420 = 22351119710771
BaseRepresentation
bin101001101111001…
…0001100111101100
310121121011222221220
41103132101213230
510332003223140
6350544223340
746463406153
oct12336214754
93547158856
101400445420
11659573410
1233100ab50
131941a643a
14d3dca59a
1582e31bd0
hex537919ec

1400445420 has 96 divisors (see below), whose sum is σ = 4299837696. Its totient is φ = 337747200.

The previous prime is 1400445391. The next prime is 1400445437. The reversal of 1400445420 is 245440041.

It is a happy number.

It is a super-2 number, since 2×14004454202 = 3922494748797952800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 124635 + ... + 135405.

It is an arithmetic number, because the mean of its divisors is an integer number (44789976).

Almost surely, 21400445420 is an apocalyptic number.

1400445420 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 1400445420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149918848).

1400445420 is an abundant number, since it is smaller than the sum of its proper divisors (2899392276).

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

1400445420 is a wasteful number, since it uses less digits than its factorization.

1400445420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1400445420 is about 37422.5255695016. The cubic root of 1400445420 is about 1118.8075691275.

Adding to 1400445420 its reverse (245440041), we get a palindrome (1645885461).

The spelling of 1400445420 in words is "one billion, four hundred million, four hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1182 1970 2167 2364 2955 3940 4334 5910 6501 8668 10771 10835 11820 13002 21542 21670 26004 32313 32505 43084 43340 53855 64626 65010 107710 118481 129252 130020 161565 215420 236962 323130 355443 473924 592405 646260 710886 1184810 1421772 1777215 2121887 2369620 3554430 4243774 6365661 7108860 8487548 10609435 12731322 21218870 23340757 25462644 31828305 42437740 46681514 63656610 70022271 93363028 116703785 127313220 140044542 233407570 280089084 350111355 466815140 700222710 1400445420