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1214003640 = 233519152967
BaseRepresentation
bin100100001011100…
…0011100110111000
310010121100202220210
41020113003212320
54441241104030
6320244151120
742040601133
oct11027034670
93117322823
101214003640
115733009a3
1229a6984a0
13164688465
14b733721a
15718a4bb0
hex485c39b8

1214003640 has 64 divisors (see below), whose sum is σ = 3661148160. Its totient is φ = 322033280.

The previous prime is 1214003611. The next prime is 1214003683. The reversal of 1214003640 is 463004121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564 + ... + 49403.

It is an arithmetic number, because the mean of its divisors is an integer number (57205440).

Almost surely, 21214003640 is an apocalyptic number.

1214003640 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 1214003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830574080).

1214003640 is an abundant number, since it is smaller than the sum of its proper divisors (2447144520).

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

1214003640 is a wasteful number, since it uses less digits than its factorization.

1214003640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53172 (or 53168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1214003640 is about 34842.5550153831. Note that the first 3 decimals coincide. The cubic root of 1214003640 is about 1066.7762287634.

Adding to 1214003640 its reverse (463004121), we get a palindrome (1677007761).

The spelling of 1214003640 in words is "one billion, two hundred fourteen million, three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 52967 105934 158901 211868 264835 317802 423736 529670 635604 794505 1059340 1271208 1589010 2118680 3178020 6356040 10116697 20233394 30350091 40466788 50583485 60700182 80933576 101166970 121400364 151750455 202333940 242800728 303500910 404667880 607001820 1214003640