Search a number
-
+
1055364414 = 231347479601
BaseRepresentation
bin111110111001111…
…001010100111110
32201112212001210220
4332321321110332
54130133130124
6252420042210
735103310116
oct7671712476
92645761726
101055364414
114a17a89a5
12255533366
1313a8531b0
14a0240046
15629ba879
hex3ee7953e

1055364414 has 64 divisors (see below), whose sum is σ = 2330173440. Its totient is φ = 316627200.

The previous prime is 1055364379. The next prime is 1055364419. The reversal of 1055364414 is 4144635501.

It is a super-2 number, since 2×10553644142 = 2227588092675126792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055364419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755714 + ... + 1756314.

It is an arithmetic number, because the mean of its divisors is an integer number (36408960).

Almost surely, 21055364414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055364414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165086720).

1055364414 is an abundant number, since it is smaller than the sum of its proper divisors (1274809026).

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

1055364414 is a wasteful number, since it uses less digits than its factorization.

1055364414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1055364414 is about 32486.3727430441. The cubic root of 1055364414 is about 1018.1243288104.

Adding to 1055364414 its reverse (4144635501), we get a palindrome (5199999915).

The spelling of 1055364414 in words is "one billion, fifty-five million, three hundred sixty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 479 601 611 958 1202 1222 1437 1803 1833 2874 3606 3666 6227 7813 12454 15626 18681 22513 23439 28247 37362 45026 46878 56494 67539 84741 135078 169482 287879 292669 367211 575758 585338 734422 863637 878007 1101633 1727274 1756014 2203266 3742427 7484854 11227281 13530313 22454562 27060626 40590939 81181878 175894069 351788138 527682207 1055364414