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253413402 = 2311231391201
BaseRepresentation
bin11110001101011…
…00100000011010
3122122211201211120
433012230200122
51004333212102
641051310110
76164656404
oct1706544032
9578751746
10253413402
11120055270
1270a4b336
1340669278
1425927b74
15173aa6bc
hexf1ac81a

253413402 has 64 divisors (see below), whose sum is σ = 581575680. Its totient is φ = 72864000.

The previous prime is 253413401. The next prime is 253413403. The reversal of 253413402 is 204314352.

It is an interprime number because it is at equal distance from previous prime (253413401) and next prime (253413403).

It is not an unprimeable number, because it can be changed into a prime (253413401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210402 + ... + 211602.

It is an arithmetic number, because the mean of its divisors is an integer number (9087120).

Almost surely, 2253413402 is an apocalyptic number.

253413402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253413402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290787840).

253413402 is an abundant number, since it is smaller than the sum of its proper divisors (328162278).

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

253413402 is a wasteful number, since it uses less digits than its factorization.

253413402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 253413402 is about 15918.9635969180. The cubic root of 253413402 is about 632.8146524018.

Adding to 253413402 its reverse (204314352), we get a palindrome (457727754).

The spelling of 253413402 in words is "two hundred fifty-three million, four hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 139 253 278 417 506 759 834 1201 1518 1529 2402 3058 3197 3603 4587 6394 7206 9174 9591 13211 19182 26422 27623 35167 39633 55246 70334 79266 82869 105501 165738 166939 211002 303853 333878 500817 607706 911559 1001634 1823118 1836329 3672658 3839597 5508987 7679194 11017974 11518791 23037582 42235567 84471134 126706701 253413402