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1253055540 = 2235111898569
BaseRepresentation
bin100101010110000…
…0001110000110100
310020022211211001110
41022230001300310
510031240234130
6324201155020
743023540102
oct11254016064
93208754043
101253055540
115933541a0
122ab78ba70
1316c7ac5a9
14bc5c0c72
157501aab0
hex4ab01c34

1253055540 has 48 divisors (see below), whose sum is σ = 3827517120. Its totient is φ = 303770880.

The previous prime is 1253055539. The next prime is 1253055541. The reversal of 1253055540 is 455503521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1253055539) and next prime (1253055541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1253055498 and 1253055507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253055541) 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, 948625 + ... + 949944.

It is an arithmetic number, because the mean of its divisors is an integer number (79739940).

Almost surely, 21253055540 is an apocalyptic number.

1253055540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253055540 is an abundant number, since it is smaller than the sum of its proper divisors (2574461580).

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

1253055540 is a wasteful number, since it uses less digits than its factorization.

1253055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898592 (or 1898590 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 1253055540 is about 35398.5245455231. The cubic root of 1253055540 is about 1078.0943589863.

The spelling of 1253055540 in words is "one billion, two hundred fifty-three million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1898569 3797138 5695707 7594276 9492845 11391414 18985690 20884259 22782828 28478535 37971380 41768518 56957070 62652777 83537036 104421295 113914140 125305554 208842590 250611108 313263885 417685180 626527770 1253055540