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1406020020 = 2235174332057
BaseRepresentation
bin101001111001110…
…0010100110110100
310121222200012212120
41103303202212310
510334420120040
6351303515540
746561654506
oct12363424664
93558605776
101406020020
11661730719
12332a58bb0
131953a8912
14d4a3bd76
15836837d0
hex53ce29b4

1406020020 has 96 divisors (see below), whose sum is σ = 4265509248. Its totient is φ = 344666112.

The previous prime is 1406020019. The next prime is 1406020051. The reversal of 1406020020 is 200206041.

1406020020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14060200203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27832 + ... + 59888.

It is an arithmetic number, because the mean of its divisors is an integer number (44432388).

Almost surely, 21406020020 is an apocalyptic number.

1406020020 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 1406020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132754624).

1406020020 is an abundant number, since it is smaller than the sum of its proper divisors (2859489228).

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

1406020020 is a wasteful number, since it uses less digits than its factorization.

1406020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32129 (or 32127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1406020020 is about 37496.9334746190. The cubic root of 1406020020 is about 1120.2901087340.

Adding to 1406020020 its reverse (200206041), we get a palindrome (1606226061).

The spelling of 1406020020 in words is "one billion, four hundred six million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 645 731 860 1020 1290 1462 2193 2580 2924 3655 4386 7310 8772 10965 14620 21930 32057 43860 64114 96171 128228 160285 192342 320570 384684 480855 544969 641140 961710 1089938 1378451 1634907 1923420 2179876 2724845 2756902 3269814 4135353 5449690 5513804 6539628 6892255 8174535 8270706 10899380 13784510 16349070 16541412 20676765 23433667 27569020 32698140 41353530 46867334 70301001 82707060 93734668 117168335 140602002 234336670 281204004 351505005 468673340 703010010 1406020020