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255750240 = 25354312391
BaseRepresentation
bin11110011111001…
…11000001100000
3122211020110101010
433033213001200
51010433001430
641213340520
76223561344
oct1717470140
9584213333
10255750240
11121400a39
1271797740
1340ca6b05
1425d75624
15176bccb0
hexf3e7060

255750240 has 96 divisors (see below), whose sum is σ = 824414976. Its totient is φ = 66608640.

The previous prime is 255750239. The next prime is 255750263. The reversal of 255750240 is 42057552.

255750240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 255750198 and 255750207.

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, 14445 + ... + 26835.

It is an arithmetic number, because the mean of its divisors is an integer number (8587656).

Almost surely, 2255750240 is an apocalyptic number.

255750240 is a gapful number since it is divisible by the number (20) 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 255750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412207488).

255750240 is an abundant number, since it is smaller than the sum of its proper divisors (568664736).

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

255750240 is a wasteful number, since it uses less digits than its factorization.

255750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 255750240 is about 15992.1930953825. The cubic root of 255750240 is about 634.7538591770.

The spelling of 255750240 in words is "two hundred fifty-five million, seven hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 12391 20640 24782 37173 49564 61955 74346 99128 123910 148692 185865 198256 247820 297384 371730 396512 495640 532813 594768 743460 991280 1065626 1189536 1486920 1598439 1982560 2131252 2664065 2973840 3196878 4262504 5328130 5947680 6393756 7992195 8525008 10656260 12787512 15984390 17050016 21312520 25575024 31968780 42625040 51150048 63937560 85250080 127875120 255750240