Search a number
-
+
1214706240 = 263351112781
BaseRepresentation
bin100100001100110…
…1111001001000000
310010122200110201000
41020121233021000
54441431044430
6320311212000
742046555416
oct11031571100
93118613630
101214706240
11573740860
1229a977000
131648731b7
14b747b2b6
1571992e60
hex4866f240

1214706240 has 224 divisors, whose sum is σ = 4675144320. Its totient is φ = 294451200.

The previous prime is 1214706197. The next prime is 1214706247. The reversal of 1214706240 is 426074121.

It is a super-4 number, since 4×12147062404 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1214706247) 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, 88650 + ... + 101430.

It is an arithmetic number, because the mean of its divisors is an integer number (20871180).

Almost surely, 21214706240 is an apocalyptic number.

1214706240 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 1214706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337572160).

1214706240 is an abundant number, since it is smaller than the sum of its proper divisors (3460438080).

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

1214706240 is a wasteful number, since it uses less digits than its factorization.

1214706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12818 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1214706240 is about 34852.6360552541. The cubic root of 1214706240 is about 1066.9819866394.

The spelling of 1214706240 in words is "one billion, two hundred fourteen million, seven hundred six thousand, two hundred forty".