Search a number
-
+
269050240 = 2753171191
BaseRepresentation
bin10000000010010…
…110000110000000
3200202021011112201
4100002112012000
51022334101430
642410402544
76444614014
oct2002260600
9622234481
10269050240
11128965478
1276130454
1343982734
1427a38544
15189488ca
hex10096180

269050240 has 128 divisors (see below), whose sum is σ = 676823040. Its totient is φ = 102144000.

The previous prime is 269050237. The next prime is 269050247. The reversal of 269050240 is 42050962.

269050240 is digitally balanced in base 3, 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 269050199 and 269050208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269050247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408545 + ... + 1408735.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2269050240 is an apocalyptic number.

269050240 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 269050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338411520).

269050240 is an abundant number, since it is smaller than the sum of its proper divisors (407772800).

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

269050240 is a wasteful number, since it uses less digits than its factorization.

269050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 269050240 is about 16402.7509887823. The cubic root of 269050240 is about 645.5716663266.

The spelling of 269050240 in words is "two hundred sixty-nine million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 71 80 124 128 142 155 160 191 248 284 310 320 355 382 496 568 620 640 710 764 955 992 1136 1240 1420 1528 1910 1984 2201 2272 2480 2840 3056 3820 3968 4402 4544 4960 5680 5921 6112 7640 8804 9088 9920 11005 11360 11842 12224 13561 15280 17608 19840 22010 22720 23684 24448 27122 29605 30560 35216 44020 45440 47368 54244 59210 61120 67805 70432 88040 94736 108488 118420 122240 135610 140864 176080 189472 216976 236840 271220 281728 352160 378944 420391 433952 473680 542440 704320 757888 840782 867904 947360 1084880 1408640 1681564 1735808 1894720 2101955 2169760 3363128 3789440 4203910 4339520 6726256 8407820 8679040 13452512 16815640 26905024 33631280 53810048 67262560 134525120 269050240