Search a number
-
+
269050840 = 23517974079
BaseRepresentation
bin10000000010010…
…110001111011000
3200202021012100221
4100002112033120
51022334111330
642410405424
76444615532
oct2002261730
9622235327
10269050840
11128965973
1276130874
1343982aa6
1427a38852
1518948b7a
hex100963d8

269050840 has 64 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 100220928.

The previous prime is 269050819. The next prime is 269050877. The reversal of 269050840 is 48050962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 269050796 and 269050805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63921 + ... + 67999.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2269050840 is an apocalyptic number.

269050840 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 269050840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

269050840 is an abundant number, since it is smaller than the sum of its proper divisors (378689960).

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

269050840 is a wasteful number, since it uses less digits than its factorization.

269050840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 269050840 is about 16402.7692783871. The cubic root of 269050840 is about 645.5721462155.

The spelling of 269050840 in words is "two hundred sixty-nine million, fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 340 388 485 680 776 970 1649 1940 3298 3880 4079 6596 8158 8245 13192 16316 16490 20395 32632 32980 40790 65960 69343 81580 138686 163160 277372 346715 395663 554744 693430 791326 1386860 1582652 1978315 2773720 3165304 3956630 6726271 7913260 13452542 15826520 26905084 33631355 53810168 67262710 134525420 269050840