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270842257 = 7231376179
BaseRepresentation
bin10000001001001…
…011100110010001
3200212122012201201
4100021023212101
51023313423012
642513031201
76466056400
oct2011134621
9625565651
10270842257
11129979884
1276855501
134415c2ba
1427d83637
1518b9e857
hex1024b991

270842257 has 48 divisors (see below), whose sum is σ = 343787520. Its totient is φ = 212284800.

The previous prime is 270842239. The next prime is 270842263. The reversal of 270842257 is 752248072.

It is not a de Polignac number, because 270842257 - 223 = 262453649 is a prime.

It is a super-3 number, since 3×2708422573 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (270842057) 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 47 ways as a sum of consecutive naturals, for example, 3428344 + ... + 3428422.

It is an arithmetic number, because the mean of its divisors is an integer number (7162240).

Almost surely, 2270842257 is an apocalyptic number.

It is an amenable number.

270842257 is a deficient number, since it is larger than the sum of its proper divisors (72945263).

270842257 is a wasteful number, since it uses less digits than its factorization.

270842257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 270842257 is about 16457.2858333323. The cubic root of 270842257 is about 647.0017789026.

The spelling of 270842257 in words is "two hundred seventy million, eight hundred forty-two thousand, two hundred fifty-seven".

Divisors: 1 7 31 37 49 61 79 217 259 427 553 1147 1519 1813 1891 2257 2449 2923 2989 3871 4819 8029 13237 15799 17143 20461 33733 56203 69967 90613 92659 110593 120001 143227 149389 178303 236131 489769 634291 1045723 1248121 3428383 4440037 5527393 7320061 8736847 38691751 270842257