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1214420410 = 25724160449
BaseRepresentation
bin100100001100010…
…1001010110111010
310010122010221121201
41020120221112322
54441342423120
6320301124414
742044255200
oct11030512672
93118127551
101214420410
11573566035
1229a85970a
131647a3078
14b7405070
157193840a
hex486295ba

1214420410 has 48 divisors (see below), whose sum is σ = 2604911400. Its totient is φ = 406210560.

The previous prime is 1214420407. The next prime is 1214420419. The reversal of 1214420410 is 140244121.

It can be written as a sum of positive squares in 4 ways, for example, as 383885649 + 830534761 = 19593^2 + 28819^2 .

It is not an unprimeable number, because it can be changed into a prime (1214420419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10135 + ... + 50314.

Almost surely, 21214420410 is an apocalyptic number.

1214420410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1214420410 is an abundant number, since it is smaller than the sum of its proper divisors (1390490990).

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

1214420410 is a wasteful number, since it uses less digits than its factorization.

1214420410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60511 (or 60504 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1214420410 is about 34848.5352633364. The cubic root of 1214420410 is about 1066.8982903032.

Adding to 1214420410 its reverse (140244121), we get a palindrome (1354664531).

The spelling of 1214420410 in words is "one billion, two hundred fourteen million, four hundred twenty thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1435 2009 2870 4018 10045 20090 60449 120898 302245 423143 604490 846286 2115715 2478409 2962001 4231430 4956818 5924002 12392045 14810005 17348863 24784090 29620010 34697726 86744315 121442041 173488630 242884082 607210205 1214420410