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1255673130 = 235671274919
BaseRepresentation
bin100101011011000…
…0000110100101010
310020111202210201020
41022312000310222
510032423020010
6324333233310
743055021415
oct11266006452
93214683636
101255673130
11594881898
122b0632836
131701b7b6a
14bcaa2b7c
1575386470
hex4ad80d2a

1255673130 has 64 divisors (see below), whose sum is σ = 3083304960. Its totient is φ = 327184704.

The previous prime is 1255673129. The next prime is 1255673137. The reversal of 1255673130 is 313765521.

It is a junction number, because it is equal to n+sod(n) for n = 1255673091 and 1255673100.

It is not an unprimeable number, because it can be changed into a prime (1255673137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252811 + ... + 257729.

It is an arithmetic number, because the mean of its divisors is an integer number (48176640).

Almost surely, 21255673130 is an apocalyptic number.

1255673130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255673130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541652480).

1255673130 is an abundant number, since it is smaller than the sum of its proper divisors (1827631830).

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

1255673130 is a wasteful number, since it uses less digits than its factorization.

1255673130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 1255673130 is about 35435.4784079459. The cubic root of 1255673130 is about 1078.8445375628.

The spelling of 1255673130 in words is "one billion, two hundred fifty-five million, six hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 127 134 201 254 335 381 402 635 670 762 1005 1270 1905 2010 3810 4919 8509 9838 14757 17018 24595 25527 29514 42545 49190 51054 73785 85090 127635 147570 255270 329573 624713 659146 988719 1249426 1647865 1874139 1977438 3123565 3295730 3748278 4943595 6247130 9370695 9887190 18741390 41855771 83711542 125567313 209278855 251134626 418557710 627836565 1255673130