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1270142524 = 2272231392027
BaseRepresentation
bin100101110110100…
…1101011000111100
310021111222220222201
41023231031120330
510100124030044
6330011321244
743322014300
oct11355153074
93244886881
101270142524
115a1a64972
122b5450224
131731b2b31
14c098bd00
15767937d4
hex4bb4d63c

1270142524 has 72 divisors (see below), whose sum is σ = 2718817920. Its totient is φ = 516678624.

The previous prime is 1270142521. The next prime is 1270142527. The reversal of 1270142524 is 4252410721.

It is an interprime number because it is at equal distance from previous prime (1270142521) and next prime (1270142527).

It is a super-2 number, since 2×12701425242 = 3226524062546181152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1270142492 and 1270142501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270142521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625599 + ... + 627625.

It is an arithmetic number, because the mean of its divisors is an integer number (37761360).

Almost surely, 21270142524 is an apocalyptic number.

1270142524 is a gapful number since it is divisible by the number (14) 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 1270142524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359408960).

1270142524 is an abundant number, since it is smaller than the sum of its proper divisors (1448675396).

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

1270142524 is a wasteful number, since it uses less digits than its factorization.

1270142524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 1270142524 is about 35639.0589662522. The cubic root of 1270142524 is about 1082.9726415055.

It can be divided in two parts, 12701 and 42524, that added together give a square (55225 = 2352).

The spelling of 1270142524 in words is "one billion, two hundred seventy million, one hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 139 161 196 278 322 556 644 973 1127 1946 2027 2254 3197 3892 4054 4508 6394 6811 8108 12788 13622 14189 22379 27244 28378 44758 46621 56756 89516 93242 99323 156653 186484 198646 281753 313306 326347 397292 563506 626612 652694 1127012 1305388 1972271 2284429 3944542 4568858 6480319 7889084 9137716 12960638 13805897 25921276 27611794 45362233 55223588 90724466 181448932 317535631 635071262 1270142524