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26641940 = 22513432383
BaseRepresentation
bin110010110100…
…0011000010100
31212010112212112
41211220120110
523310020230
62351010152
7442311203
oct145503024
955115775
1026641940
1114047536
128b09958
13569a680
14377723a
152513d95
hex1968614

26641940 has 48 divisors (see below), whose sum is σ = 61678848. Its totient is φ = 9604224.

The previous prime is 26641939. The next prime is 26641943. The reversal of 26641940 is 4914662.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26641897 and 26641906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26641943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9989 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (1284976).

Almost surely, 226641940 is an apocalyptic number.

26641940 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 26641940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30839424).

26641940 is an abundant number, since it is smaller than the sum of its proper divisors (35036908).

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

26641940 is a wasteful number, since it uses less digits than its factorization.

26641940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 26641940 is about 5161.5830904869. The cubic root of 26641940 is about 298.6679460466.

The spelling of 26641940 in words is "twenty-six million, six hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2383 2795 4766 5590 9532 11180 11915 23830 30979 47660 61958 102469 123916 154895 204938 309790 409876 512345 619580 1024690 1332097 2049380 2664194 5328388 6660485 13320970 26641940