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255446040 = 23356134897
BaseRepresentation
bin11110011100111…
…00110000011000
3122210200000002110
433032130300120
51010343233130
641203032320
76221153433
oct1716346030
9583600073
10255446040
11121213433
127166b6a0
1340bcb505
1425cd681a
151765cab0
hexf39cc18

255446040 has 64 divisors (see below), whose sum is σ = 778923360. Its totient is φ = 67000320.

The previous prime is 255446003. The next prime is 255446057. The reversal of 255446040 is 40644552.

255446040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 255445989 and 255446007.

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, 10129 + ... + 24768.

Almost surely, 2255446040 is an apocalyptic number.

255446040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255446040 is an abundant number, since it is smaller than the sum of its proper divisors (523477320).

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

255446040 is a wasteful number, since it uses less digits than its factorization.

255446040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34972 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 255446040 is about 15982.6793748733. The cubic root of 255446040 is about 634.5020917601.

The spelling of 255446040 in words is "two hundred fifty-five million, four hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 34897 69794 104691 139588 174485 209382 279176 348970 418764 523455 697940 837528 1046910 1395880 2093820 2128717 4187640 4257434 6386151 8514868 10643585 12772302 17029736 21287170 25544604 31930755 42574340 51089208 63861510 85148680 127723020 255446040