Search a number
-
+
6269940 = 2233517683
BaseRepresentation
bin10111111010101111110100
3102210112202000
4113322233310
53101114230
6342215300
7104202465
oct27725764
912715660
106269940
1135a2776
122124530
1313b6b31
14b92d6c
1583cb60
hex5fabf4

6269940 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 1571328.

The previous prime is 6269917. The next prime is 6269947. The reversal of 6269940 is 499626.

6269940 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6269895 and 6269904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6269947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8839 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 26269940 is an apocalyptic number.

6269940 is a gapful number since it is divisible by the number (60) 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 6269940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

6269940 is an abundant number, since it is smaller than the sum of its proper divisors (14414220).

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

6269940 is a wasteful number, since it uses less digits than its factorization.

6269940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6269940 is about 2503.9848242352. The cubic root of 6269940 is about 184.3972592105.

The spelling of 6269940 in words is "six million, two hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 683 765 918 1020 1366 1530 1836 2049 2295 2732 3060 3415 4098 4590 6147 6830 8196 9180 10245 11611 12294 13660 18441 20490 23222 24588 30735 34833 36882 40980 46444 58055 61470 69666 73764 92205 104499 116110 122940 139332 174165 184410 208998 232220 313497 348330 368820 417996 522495 626994 696660 1044990 1253988 1567485 2089980 3134970 6269940