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255105312 = 25371134511
BaseRepresentation
bin11110011010010…
…01100100100000
3122210000200200220
433031021210200
51010301332222
641151443040
76215234160
oct1715114440
9583020626
10255105312
11121000440
1271526480
1340b0c3b7
1425c485a0
15175e1b5c
hexf349920

255105312 has 96 divisors (see below), whose sum is σ = 834914304. Its totient is φ = 66259200.

The previous prime is 255105307. The next prime is 255105337. The reversal of 255105312 is 213501552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 9864 + ... + 24647.

It is an arithmetic number, because the mean of its divisors is an integer number (8697024).

Almost surely, 2255105312 is an apocalyptic number.

255105312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255105312 is an abundant number, since it is smaller than the sum of its proper divisors (579808992).

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

255105312 is a wasteful number, since it uses less digits than its factorization.

255105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34542 (or 34534 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 255105312 is about 15972.0165289171. The cubic root of 255105312 is about 634.2198549542.

Adding to 255105312 its reverse (213501552), we get a palindrome (468606864).

The spelling of 255105312 in words is "two hundred fifty-five million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 34511 69022 103533 138044 207066 241577 276088 379621 414132 483154 552176 724731 759242 828264 966308 1104352 1138863 1449462 1518484 1656528 1932616 2277726 2657347 2898924 3036968 3313056 3865232 4555452 5314694 5797848 6073936 7730464 7972041 9110904 10629388 11595696 12147872 15944082 18221808 21258776 23191392 31888164 36443616 42517552 63776328 85035104 127552656 255105312