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270845148 = 22373232861
BaseRepresentation
bin10000001001001…
…100010011011100
3200212122100200210
4100021030103130
51023314021043
642513052420
76466101000
oct2011142334
9625570623
10270845148
11129980a72
1276857110
1344160702
1427d84700
1518ba0633
hex1024c4dc

270845148 has 96 divisors (see below), whose sum is σ = 769305600. Its totient is φ = 73993920.

The previous prime is 270845147. The next prime is 270845177. The reversal of 270845148 is 841548072.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270845147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93238 + ... + 96098.

It is an arithmetic number, because the mean of its divisors is an integer number (8013600).

Almost surely, 2270845148 is an apocalyptic number.

270845148 is a gapful number since it is divisible by the number (28) 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 270845148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384652800).

270845148 is an abundant number, since it is smaller than the sum of its proper divisors (498460452).

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

270845148 is a wasteful number, since it uses less digits than its factorization.

270845148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 270845148 is about 16457.3736665362. The cubic root of 270845148 is about 647.0040809504.

The spelling of 270845148 in words is "two hundred seventy million, eight hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 343 483 588 644 686 966 1029 1127 1372 1932 2058 2254 2861 3381 4116 4508 5722 6762 7889 8583 11444 13524 15778 17166 20027 23667 31556 34332 40054 47334 60081 65803 80108 94668 120162 131606 140189 197409 240324 263212 280378 394818 420567 460621 560756 789636 841134 921242 981323 1381863 1682268 1842484 1962646 2763726 2943969 3224347 3925292 5527452 5887938 6448694 9673041 11775876 12897388 19346082 22570429 38692164 45140858 67711287 90281716 135422574 270845148