Search a number
-
+
26869840 = 2454373107
BaseRepresentation
bin110011010000…
…0000001010000
31212120010111021
41212200001100
523334313330
62355525224
7444250504
oct146400120
955503437
1026869840
1114192788
128bb9814
13574a31a
1437d6304
15255b67a
hex19a0050

26869840 has 80 divisors (see below), whose sum is σ = 65406528. Its totient is φ = 10257408.

The previous prime is 26869837. The next prime is 26869849. The reversal of 26869840 is 4896862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26869849) 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, 251067 + ... + 251173.

Almost surely, 226869840 is an apocalyptic number.

26869840 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 26869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703264).

26869840 is an abundant number, since it is smaller than the sum of its proper divisors (38536688).

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

26869840 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (26869839) it forms an eRAP, since the sums of their prime factors are consecutive (235 and 236).

26869840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 26869840 is about 5183.6126398488. The cubic root of 26869840 is about 299.5171491932.

The spelling of 26869840 in words is "twenty-six million, eight hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 73 80 86 107 146 172 214 215 292 344 365 428 430 535 584 688 730 856 860 1070 1168 1460 1712 1720 2140 2920 3139 3440 4280 4601 5840 6278 7811 8560 9202 12556 15622 15695 18404 23005 25112 31244 31390 36808 39055 46010 50224 62488 62780 73616 78110 92020 124976 125560 156220 184040 251120 312440 335873 368080 624880 671746 1343492 1679365 2686984 3358730 5373968 6717460 13434920 26869840