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1381284 = 2232173761
BaseRepresentation
bin101010001001110100100
32121011202200
411101032210
5323200114
645334500
714512032
oct5211644
92534680
101381284
11863863
12567430
13394938
1427d552
151c4409
hex1513a4

1381284 has 72 divisors (see below), whose sum is σ = 3859128. Its totient is φ = 414720.

The previous prime is 1381279. The next prime is 1381291. The reversal of 1381284 is 4821831.

1381284 is a `hidden beast` number, since 1 + 381 + 284 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 1102500 = 528^2 + 1050^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22614 + ... + 22674.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

21381284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929564).

1381284 is an abundant number, since it is smaller than the sum of its proper divisors (2477844).

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

1381284 is a wasteful number, since it uses less digits than its factorization.

1381284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1381284 is about 1175.2803920767. The cubic root of 1381284 is about 111.3681470085.

The spelling of 1381284 in words is "one million, three hundred eighty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 61 68 74 102 111 122 148 153 183 204 222 244 306 333 366 444 549 612 629 666 732 1037 1098 1258 1332 1887 2074 2196 2257 2516 3111 3774 4148 4514 5661 6222 6771 7548 9028 9333 11322 12444 13542 18666 20313 22644 27084 37332 38369 40626 76738 81252 115107 153476 230214 345321 460428 690642 1381284