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255007104 = 2731173827
BaseRepresentation
bin11110011001100…
…01100110000000
3122202211200222120
433030301212000
51010240211404
641145404240
76214344642
oct1714614600
9582750876
10255007104
11120a43680
1271499680
1340aa67a1
1425c20892
15175c29d9
hexf331980

255007104 has 128 divisors (see below), whose sum is σ = 749969280. Its totient is φ = 76124160.

The previous prime is 255007087. The next prime is 255007111. The reversal of 255007104 is 401700552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307939 + ... + 308765.

It is an arithmetic number, because the mean of its divisors is an integer number (5859135).

Almost surely, 2255007104 is an apocalyptic number.

255007104 is a gapful number since it is divisible by the number (24) 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 255007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374984640).

255007104 is an abundant number, since it is smaller than the sum of its proper divisors (494962176).

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

255007104 is a wasteful number, since it uses less digits than its factorization.

255007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 255007104 is about 15968.9418559903. The cubic root of 255007104 is about 634.1384592129.

Adding to 255007104 its reverse (401700552), we get a palindrome (656707656).

The spelling of 255007104 in words is "two hundred fifty-five million, seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 219 264 292 352 384 438 528 584 704 803 827 876 1056 1168 1408 1606 1654 1752 2112 2336 2409 2481 3212 3308 3504 4224 4672 4818 4962 6424 6616 7008 9097 9344 9636 9924 12848 13232 14016 18194 19272 19848 25696 26464 27291 28032 36388 38544 39696 51392 52928 54582 60371 72776 77088 79392 102784 105856 109164 120742 145552 154176 158784 181113 218328 241484 291104 308352 317568 362226 436656 482968 582208 664081 724452 873312 965936 1164416 1328162 1448904 1746624 1931872 1992243 2656324 2897808 3493248 3863744 3984486 5312648 5795616 7727488 7968972 10625296 11591232 15937944 21250592 23182464 31875888 42501184 63751776 85002368 127503552 255007104