Search a number
-
+
1224010240 = 295478129
BaseRepresentation
bin100100011110100…
…1110101000000000
310011022012011101121
41020331032220000
510001321311430
6321242442024
742221625655
oct11075165000
93138164347
101224010240
11578a16012
122a1b03314
1316678001b
14b87bdc2c
15726cea7a
hex48f4ea00

1224010240 has 40 divisors (see below), whose sum is σ = 2934761940. Its totient is φ = 489603072.

The previous prime is 1224010171. The next prime is 1224010241. The reversal of 1224010240 is 420104221.

It can be written as a sum of positive squares in 2 ways, for example, as 1204367616 + 19642624 = 34704^2 + 4432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1224010241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236505 + ... + 241624.

Almost surely, 21224010240 is an apocalyptic number.

1224010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224010240 is an abundant number, since it is smaller than the sum of its proper divisors (1710751700).

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

1224010240 is an frugal number, since it uses more digits than its factorization.

1224010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478152 (or 478136 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1224010240 is about 34985.8577142250. The cubic root of 1224010240 is about 1069.6992312705.

Adding to 1224010240 its reverse (420104221), we get a palindrome (1644114461).

The spelling of 1224010240 in words is "one billion, two hundred twenty-four million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 478129 956258 1912516 2390645 3825032 4781290 7650064 9562580 15300128 19125160 30600256 38250320 61200512 76500640 122401024 153001280 244802048 306002560 612005120 1224010240