Search a number
-
+
26978220 = 22325672237
BaseRepresentation
bin110011011101…
…0011110101100
31212202122011100
41212322132230
523401300340
62402123100
7445211463
oct146723654
955678140
1026978220
1114257155
129050490
135787759
1438239da
15257d830
hex19ba7ac

26978220 has 72 divisors (see below), whose sum is σ = 83092464. Its totient is φ = 7083648.

The previous prime is 26978213. The next prime is 26978251. The reversal of 26978220 is 2287962.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10942 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (1154062).

Almost surely, 226978220 is an apocalyptic number.

26978220 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 26978220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41546232).

26978220 is an abundant number, since it is smaller than the sum of its proper divisors (56114244).

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

26978220 is a wasteful number, since it uses less digits than its factorization.

26978220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26978220 is about 5194.0562184097. The cubic root of 26978220 is about 299.9193116332.

The spelling of 26978220 in words is "twenty-six million, nine hundred seventy-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2237 2412 3015 4020 4474 6030 6711 8948 11185 12060 13422 20133 22370 26844 33555 40266 44740 67110 80532 100665 134220 149879 201330 299758 402660 449637 599516 749395 899274 1348911 1498790 1798548 2248185 2697822 2997580 4496370 5395644 6744555 8992740 13489110 26978220