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1253065216 = 2913188261
BaseRepresentation
bin100101010110000…
…0100001000000000
310020022212022022211
41022230010020000
510031241041331
6324201311504
743023610234
oct11254041000
93208768284
101253065216
11593360497
122ab795594
1316c7b3b10
14bc5c45c4
157501d8b1
hex4ab04200

1253065216 has 40 divisors (see below), whose sum is σ = 2696288364. Its totient is φ = 578334720.

The previous prime is 1253065213. The next prime is 1253065237. The reversal of 1253065216 is 6125603521.

It can be written as a sum of positive squares in 2 ways, for example, as 1244678400 + 8386816 = 35280^2 + 2896^2 .

It is not an unprimeable number, because it can be changed into a prime (1253065213) 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, 87475 + ... + 100786.

Almost surely, 21253065216 is an apocalyptic number.

1253065216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253065216 is an abundant number, since it is smaller than the sum of its proper divisors (1443223148).

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

1253065216 is an equidigital number, since it uses as much as digits as its factorization.

1253065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188292 (or 188276 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1253065216 is about 35398.6612176223. The cubic root of 1253065216 is about 1078.0971339669.

Adding to 1253065216 its reverse (6125603521), we get a palindrome (7378668737).

The spelling of 1253065216 in words is "one billion, two hundred fifty-three million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 188261 376522 753044 1506088 2447393 3012176 4894786 6024352 9789572 12048704 19579144 24097408 39158288 48194816 78316576 96389632 156633152 313266304 626532608 1253065216