Search a number
-
+
1255441000 = 235311611871
BaseRepresentation
bin100101011010100…
…1000001001101000
310020111100000021211
41022311020021220
510032343103000
6324324242504
743053033562
oct11265101150
93214300254
101255441000
11594733450
122b0540434
131701362c8
14bca42332
157533c7ba
hex4ad48268

1255441000 has 128 divisors (see below), whose sum is σ = 3259077120. Its totient is φ = 448800000.

The previous prime is 1255440997. The next prime is 1255441021. The reversal of 1255441000 is 1445521.

It is a super-2 number, since 2×12554410002 = 3152264208962000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 670065 + ... + 671935.

It is an arithmetic number, because the mean of its divisors is an integer number (25461540).

Almost surely, 21255441000 is an apocalyptic number.

1255441000 is a gapful number since it is divisible by the number (10) 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 1255441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629538560).

1255441000 is an abundant number, since it is smaller than the sum of its proper divisors (2003636120).

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

1255441000 is a wasteful number, since it uses less digits than its factorization.

1255441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1255441000 is about 35432.2028668837. The cubic root of 1255441000 is about 1078.7780532711.

Adding to 1255441000 its reverse (1445521), we get a palindrome (1256886521).

The spelling of 1255441000 in words is "one billion, two hundred fifty-five million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 125 200 220 244 250 275 305 440 488 500 550 610 671 1000 1100 1220 1342 1375 1525 1871 2200 2440 2684 2750 3050 3355 3742 5368 5500 6100 6710 7484 7625 9355 11000 12200 13420 14968 15250 16775 18710 20581 26840 30500 33550 37420 41162 46775 61000 67100 74840 82324 83875 93550 102905 114131 134200 164648 167750 187100 205810 228262 233875 335500 374200 411620 456524 467750 514525 570655 671000 823240 913048 935500 1029050 1141310 1255441 1871000 2058100 2282620 2510882 2572625 2853275 4116200 4565240 5021764 5145250 5706550 6277205 10043528 10290500 11413100 12554410 14266375 20581000 22826200 25108820 28532750 31386025 50217640 57065500 62772050 114131000 125544100 156930125 251088200 313860250 627720500 1255441000