Search a number
-
+
1406550016 = 2142932
BaseRepresentation
bin101001111010110…
…0100000000000000
310122000200010220001
41103311210000000
510340034100031
6351323125344
746566322624
oct12365440000
93560603801
101406550016
11661a62933
12333073854
13195532c21
14d4b39184
158373a861
hex53d64000

1406550016 has 45 divisors (see below), whose sum is σ = 2822647681. Its totient is φ = 700874752.

The previous prime is 1406549941. The next prime is 1406550023. The reversal of 1406550016 is 6100556041.

The square root of 1406550016 is 37504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1330790400 + 75759616 = 36480^2 + 8704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4800366 + ... + 4800658.

Almost surely, 21406550016 is an apocalyptic number.

1406550016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1406550016 is the 37504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406550016

1406550016 is an abundant number, since it is smaller than the sum of its proper divisors (1416097665).

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

1406550016 is an frugal number, since it uses more digits than its factorization.

1406550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 1406550016 is about 1120.4308546407.

Multiplying 1406550016 by its product of nonzero digits (3600), we get a square (5063580057600 = 22502402).

The spelling of 1406550016 in words is "one billion, four hundred six million, five hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1024 1172 2048 2344 4096 4688 8192 9376 16384 18752 37504 75008 85849 150016 171698 300032 343396 600064 686792 1200128 1373584 2400256 2747168 4800512 5494336 10988672 21977344 43954688 87909376 175818752 351637504 703275008 1406550016