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1406411916 = 2237213214153
BaseRepresentation
bin101001111010100…
…0010010010001100
310122000102010110020
41103311002102030
510340020140131
6351320142140
746565206200
oct12365022214
93560363406
101406411916
116619790a8
12333007950
131954b5100
14d4b00b00
158370e996
hex53d4248c

1406411916 has 108 divisors (see below), whose sum is σ = 4133930472. Its totient is φ = 370895616.

The previous prime is 1406411911. The next prime is 1406411917. The reversal of 1406411916 is 6191146041.

It is not an unprimeable number, because it can be changed into a prime (1406411911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92296 + ... + 106448.

It is an arithmetic number, because the mean of its divisors is an integer number (38277134).

Almost surely, 21406411916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406411916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066965236).

1406411916 is an abundant number, since it is smaller than the sum of its proper divisors (2727518556).

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

1406411916 is a wasteful number, since it uses less digits than its factorization.

1406411916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1406411916 is about 37502.1588178601. The cubic root of 1406411916 is about 1120.3941841672.

Adding to 1406411916 its reverse (6191146041), we get a palindrome (7597557957).

The spelling of 1406411916 in words is "one billion, four hundred six million, four hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 1014 1092 1183 1274 1911 2028 2366 2548 3549 3822 4732 7098 7644 8281 14153 14196 16562 24843 28306 33124 42459 49686 56612 84918 99071 99372 169836 183989 198142 297213 367978 396284 551967 594426 693497 735956 1103934 1188852 1287923 1386994 2080491 2207868 2391857 2575846 2773988 3863769 4160982 4783714 5151692 7175571 7727538 8321964 9015461 9567428 14351142 15455076 16742999 18030922 27046383 28702284 33485998 36061844 50228997 54092766 66971996 100457994 108185532 117200993 200915988 234401986 351602979 468803972 703205958 1406411916