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255742520 = 235112337683
BaseRepresentation
bin11110011111001…
…01001000111000
3122211020001210012
433033211020320
51010432230040
641213241052
76223530005
oct1717451070
9584201705
10255742520
111213a6160
1271793188
1340ca3447
1425d728ac
15176ba865
hexf3e5238

255742520 has 128 divisors (see below), whose sum is σ = 673712640. Its totient is φ = 86423040.

The previous prime is 255742507. The next prime is 255742541. The reversal of 255742520 is 25247552.

255742520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374099 + ... + 374781.

It is an arithmetic number, because the mean of its divisors is an integer number (5263380).

Almost surely, 2255742520 is an apocalyptic number.

255742520 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 255742520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336856320).

255742520 is an abundant number, since it is smaller than the sum of its proper divisors (417970120).

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

255742520 is a wasteful number, since it uses less digits than its factorization.

255742520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 255742520 is about 15991.9517257901. The cubic root of 255742520 is about 634.7474722829.

The spelling of 255742520 in words is "two hundred fifty-five million, seven hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 37 40 44 46 55 74 88 92 110 115 148 184 185 220 230 253 296 370 407 440 460 506 683 740 814 851 920 1012 1265 1366 1480 1628 1702 2024 2035 2530 2732 3256 3404 3415 4070 4255 5060 5464 6808 6830 7513 8140 8510 9361 10120 13660 15026 15709 16280 17020 18722 25271 27320 30052 31418 34040 37444 37565 46805 50542 60104 62836 74888 75130 78545 93610 101084 125672 126355 150260 157090 172799 187220 202168 252710 277981 300520 314180 345598 374440 505420 555962 581233 628360 691196 863995 1010840 1111924 1162466 1382392 1389905 1727990 2223848 2324932 2779810 2906165 3455980 4649864 5559620 5812330 6393563 6911960 11119240 11624660 12787126 23249320 25574252 31967815 51148504 63935630 127871260 255742520