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1400100020 = 2251125724763
BaseRepresentation
bin101001101110011…
…1101010010110100
310121120112110011022
41103130331102310
510331411200040
6350533000312
746460440154
oct12334752264
93546473138
101400100020
11659357960
12330a83098
131940b5167
14d3d3a764
1582db46b5
hex5373d4b4

1400100020 has 48 divisors (see below), whose sum is σ = 3220112448. Its totient is φ = 507125760.

The previous prime is 1400100011. The next prime is 1400100047. The reversal of 1400100020 is 200010041.

It is a junction number, because it is equal to n+sod(n) for n = 1400099980 and 1400100007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44159 + ... + 68921.

It is an arithmetic number, because the mean of its divisors is an integer number (67085676).

Almost surely, 21400100020 is an apocalyptic number.

1400100020 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 1400100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610056224).

1400100020 is an abundant number, since it is smaller than the sum of its proper divisors (1820012428).

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

1400100020 is a wasteful number, since it uses less digits than its factorization.

1400100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25040 (or 25038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1400100020 is about 37417.9104173389. The cubic root of 1400100020 is about 1118.7155822251.

Adding to 1400100020 its reverse (200010041), we get a palindrome (1600110061).

The spelling of 1400100020 in words is "one billion, four hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2570 2827 5140 5654 11308 14135 24763 28270 49526 56540 99052 123815 247630 272393 495260 544786 1089572 1361965 2723930 5447860 6364091 12728182 25456364 31820455 63640910 70005001 127281820 140010002 280020004 350025005 700050010 1400100020