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1253412460 = 225313895197
BaseRepresentation
bin100101010110101…
…1000111001101100
310020100111221122201
41022231120321230
510031333144320
6324212551244
743026554506
oct11255307154
93210457581
101253412460
11593578373
122ab922524
1316c8a5ba1
14bc674d76
157508b70a
hex4ab58e6c

1253412460 has 48 divisors (see below), whose sum is σ = 2724583680. Its totient is φ = 483851520.

The previous prime is 1253412449. The next prime is 1253412467. The reversal of 1253412460 is 642143521.

It is not an unprimeable number, because it can be changed into a prime (1253412467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238582 + ... + 243778.

It is an arithmetic number, because the mean of its divisors is an integer number (56762160).

Almost surely, 21253412460 is an apocalyptic number.

1253412460 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 1253412460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362291840).

1253412460 is an abundant number, since it is smaller than the sum of its proper divisors (1471171220).

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

1253412460 is a wasteful number, since it uses less digits than its factorization.

1253412460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1253412460 is about 35403.5656396358. The cubic root of 1253412460 is about 1078.1967106372.

Adding to 1253412460 its reverse (642143521), we get a palindrome (1895555981).

The spelling of 1253412460 in words is "one billion, two hundred fifty-three million, four hundred twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 389 620 778 1556 1945 3890 5197 7780 10394 12059 20788 24118 25985 48236 51970 60295 103940 120590 161107 241180 322214 644428 805535 1611070 2021633 3222140 4043266 8086532 10108165 20216330 40432660 62670623 125341246 250682492 313353115 626706230 1253412460