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1270145000 = 2354534793
BaseRepresentation
bin100101110110100…
…1101111111101000
310021112000001101102
41023231031333220
510100124120000
6330011340532
743322024435
oct11355157750
93245001342
101270145000
115a1a66813
122b5451748
131731b3cb7
14c098cb8c
15767943d5
hex4bb4dfe8

1270145000 has 80 divisors (see below), whose sum is σ = 3032732340. Its totient is φ = 498368000.

The previous prime is 1270144999. The next prime is 1270145029. The reversal of 1270145000 is 5410721.

It can be written as a sum of positive squares in 10 ways, for example, as 1503076 + 1268641924 = 1226^2 + 35618^2 .

It is a super-2 number, since 2×12701450002 = 3226536642050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 262604 + ... + 267396.

Almost surely, 21270145000 is an apocalyptic number.

1270145000 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 1270145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516366170).

1270145000 is an abundant number, since it is smaller than the sum of its proper divisors (1762587340).

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

1270145000 is an equidigital number, since it uses as much as digits as its factorization.

1270145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1270145000 is about 35639.0937034039. The cubic root of 1270145000 is about 1082.9733452162.

Adding to 1270145000 its reverse (5410721), we get a palindrome (1275555721).

The spelling of 1270145000 in words is "one billion, two hundred seventy million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 625 1000 1060 1250 1325 2120 2500 2650 4793 5000 5300 6625 9586 10600 13250 19172 23965 26500 33125 38344 47930 53000 66250 95860 119825 132500 191720 239650 254029 265000 479300 508058 599125 958600 1016116 1198250 1270145 2032232 2396500 2540290 2995625 4793000 5080580 5991250 6350725 10161160 11982500 12701450 23965000 25402900 31753625 50805800 63507250 127014500 158768125 254029000 317536250 635072500 1270145000